<p><span class="pagenum"><SPAN name="Page_223" id="Page_223">[223]</SPAN></span></p>
<h2 class="faux"><br/>THE SUMS THAT CAME RIGHT</h2>
<p><span class="pagenum"><SPAN name="Page_224" id="Page_224">[224]</SPAN><br/><SPAN name="Page_225" id="Page_225">[225]</SPAN></span></p>
<p class="drop-cap">“IF twenty-seven barrelsful of apples cost
£25 13<i>s.</i> 3<i>d.</i>, what would the same
barrels be worth if they had been packed by
a dishonest person, who only put in 7/9ths of
apples in each barrel and the rest sawdust?”</p>
<p>This was the sum.</p>
<p>It does not look very hard, perhaps, to you
who have studied ardently for years at a
Board School, or a High School, or a Preparatory
School for the sons of gentlemen; but to
Edwin it looked as hard as a ship’s biscuit.
But he went for it like a man, and presently
produced an Answer and his Master wrote a
big curly R across the sum. Perhaps you do
not know that a big curly R means Right?
As for the answer to the sum, I will try to get
a Fellow of Trinity College, Cambridge (who
is a very terrible person), to work it out for you,
and if he can do it I will put the answer at the
end of this story. I cannot work it myself.</p>
<p><span class="pagenum"><SPAN name="Page_226" id="Page_226">[226]</SPAN></span></p>
<p>Edwin was glad to see the large curly R.
He saw it so seldom that to meet it was a
real pleasure.</p>
<p>“But what’s the use?” he said. “Everything
else leads to something else, except
lessons. If you put seeds in the garden they
come up flowers, unless they’re rotten seeds
or you forget where you put them. And if
you buy a rabbit—well, there it is, unless it
dies. And if you eat your dinner—well,
you’re not hungry any more for an hour or
two. But lessons!”</p>
<p>He bit his penholder angrily and put his
head into his desk to look for nibs to play
Simpkins minor with. You know the game of
nibs, of course? He held up the lid of the desk
on his head, as I daresay you have often done,
and the inside of the desk was darkish, so
that the sudden light at the very back of the
desk showed quite brightly and unmistakably.</p>
<p>“Those firework fusees, O Crikey!” was
Edwin’s first thought.</p>
<p>But it was no firework fusee. It was like
glow-worms, only a thousand times more
bright and white. For it was the light of
pure reason, and it glowed from the glorious
eyes of the Arithmetic Fairy. You did not
know that there was an Arithmetic Fairy? If<span class="pagenum"><SPAN name="Page_227" id="Page_227">[227]</SPAN></span>
you knew as much as I do, it would be simply
silly for me to try to tell you stories, wouldn’t
it?</p>
<p>Her wonderful eyes gleamed and flashed
straight into the round goggling eyes of the
amazed Edwin.</p>
<p>“Upon my word!” she said.</p>
<p>Edwin said nothing.</p>
<p>“Did no one ever tell you?” the fairy went
on, shaking out her dress, which was woven of
the integral calculus, and trimmed with a
dazzling fringe of logarithms. “Did no one
ever tell you that the things that happen
when you’ve done your sums right, happen
when you’re grown up?”</p>
<p>“I don’t care what happens then,” Edwin
dared to say, for the flashing eyes were kind
eyes. “I shall be a pirate, or a bushranger,
or something.”</p>
<p>The fairy drew herself up, and her graceful
garland of simple equations trembled as Edwin
breathed heavily.</p>
<p>“A Pirate,” said she, “a nice sort of pirate
who can’t calculate his men’s share of the
plunder to three-seventeenths of a gold link of
the dead captain’s chain! A fine bushranger
who can’t arrange the forty-two bullets from
the revolvers of his seven dauntless followers<span class="pagenum"><SPAN name="Page_228" id="Page_228">[228]</SPAN></span>
so that each of the fifteen enemies gets his
fair share! Go along with you!” said the
Arithmetic Fairy.</p>
<p>But Edwin’s eyes were, as I said, wide open,
goggling.</p>
<p>“I say,” he suddenly remarked, “how
jolly pretty you are.”</p>
<p>The Arithmetic Fairy has but one weakness—a
feminine weakness. She loves a pretty
speech. If blunt, so much the worse; yet
even bluntness....</p>
<p>She looked down and played shyly with the
bunch of miscellaneous examples in vulgar
fractions which adorned her waistband.</p>
<p>“I suppose you can’t be expected to understand,
yet,” she said, and she said it very
gently.</p>
<p>Edwin took courage.</p>
<p>“When I do things I want something to
happen at once. ‘I want a white rabbit and
I want it <i>now</i>.’”</p>
<p>She did not recognise the quotation.</p>
<p>“Get your Master to set you a little simple
multiplication sum in white rabbits,” she
said. “Goodbye, my child. You’ll know
me better in time, and as you know me better
you’ll love me more.”</p>
<p>“I ... you’re lovely now,” said Edwin.</p>
<p><span class="pagenum"><SPAN name="Page_229" id="Page_229">[229]</SPAN></span></p>
<p>The Fairy laughed, and spread her dazzling
wings glistening with all the glories of the
higher mathematics.</p>
<p>Edwin closed dazzled eyes, and opened
them as the desk lid shut down on his head,
swayed by no uncertain hand. It was the
mathematical master’s hand, in fact.</p>
<p>A new example was set. And, curiously
enough, white rabbits were in it.</p>
<p>“If seven thousand five hundred and sixty-three
white rabbits,” it began. Edwin, his
brain in a whirl, worked it correctly, by a
sort of inspiration, like an ancient prophet
or a calculating machine.</p>
<p>When he returned, with his books in a
strap, to the red villa whose gables meant
home for him, he found an excited crowd
dancing round the white-painted gates.</p>
<p>The whole of the front garden, as well as
most of the back garden, was a seething
mass of white rabbits. Seven thousand five
hundred and sixty-three there were, to be
exact. I alone know this. The joyous Edwin
and his distracted parents were never able to
count them.</p>
<p>“What a lot of hutches we shall want,”
Edwin thought gaily. But when his father
came home from the Stock Exchange, where<span class="pagenum"><SPAN name="Page_230" id="Page_230">[230]</SPAN></span>
he spent his days in considering 7⅝ and 10-3/32—no
doubt under the direct guidance of the
Arithmetic Fairy, he said at once—</p>
<p>“Send for the poulterer.”</p>
<p>This was done. Only one pair of white
rabbits remained the property of Edwin, but
these, by the power of the Arithmetic Fairy,
became ten by Christmas.</p>
<p>The rabbits disposed of, peace spread a
longing wing over the villa, but was not
allowed to settle.</p>
<p>“Oh, please ’m,” the startled cook, cap all
crooked, exclaimed in the hall, “the cellar is
choke-full of apples—most of ’em bad ’m—<i>I</i>
never see no one deliver them, nor yet give
no receipt.”</p>
<p>The cook, for once in a lurid career, spoke
truth. The cellar <i>was</i> full of apples. Nineteen
pounds nineteen and twopence and one-third
of a pennyworth—to be accurate.</p>
<p>Edwin went to bed, feeling now quite sure
that he had <i>not</i> dreamed the Arithmetic Fairy,
and anxiously wondering what to-morrow’s
sums would be about. Not, he trusted, about
snakes, or Sunday School teachers.</p>
<p>The next day’s sum was about oranges.
Edwin did it correctly, and went home a prey
to the most golden apprehensions. Nor were<span class="pagenum"><SPAN name="Page_231" id="Page_231">[231]</SPAN></span>
these unfounded. The whole of the dining-room
and most of the hall—up to the seventh
step of the neatly carpeted stairs, was golden
with oranges. Edwin’s father said some
severe things about practical jokers, and sent
for the greengrocer. Edwin ate nine 3/7th
oranges, and went to bed yellow, but not
absolutely unhappy.</p>
<p>But now he was quite sure.</p>
<p>On the following day his sum dealt with
elephants, and in such numbers that his
father, on returning from business, yielded
to a very natural annoyance, and gave notice
to his landlord that he should, at Lady Day,
leave a villa where elephants and oranges
occurred to such an extent.</p>
<p>No one suspected Edwin of having anything
to do with these happenings. And indeed, it
was not his fault, so how and why could or
should he have owned up to it?</p>
<p>I wish I had time to tell you of the events
that occurred when Edwin’s sums were set in
buttered muffins. Of the seventy-five pigs
travelling in a circle at varying rates, I can
only say that part of this circle ran through
Edwin’s mother’s drawing-room. Nor can I
here relate the tale of the three hundred
lightning conductors which were suddenly<span class="pagenum"><SPAN name="Page_232" id="Page_232">[232]</SPAN></span>
found to be attached to the once happy
villa-home. Edwin’s mother cried all day
when she was not laughing, and people came
from far and near to see the haunted house.
For when it came to four thousand white owls
and a church steeple every one felt that it was
more than a mere accident.</p>
<p>Edwin’s master had a pretty taste in sums,
and about once a term he used to set a sum
about canes. Edwin worked that sum wrong
on purpose, so I suppose it served him right
that the canes should be at home before he
was, just as they would have been if he had
worked the sum properly, and as he had
borrowed his father’s razor that morning to
sharpen a slate-pencil, the fifty-seven canes
were not all thrown away.</p>
<p>But it was the sum about the cistern that
convinced Edwin of the desperate need of
finding the Arithmetic Fairy, and begging
her to take back the present she had made
him. It is not polite to ask this, but Edwin
had to do it. You see in the sum the cistern
had to leak three pints in thirteen minutes and
a quarter, but the cistern at home happened to
have a little leak of its own already, where
Edwin had tried his new drill on it, and the
two leaks together managed so well that when<span class="pagenum"><SPAN name="Page_233" id="Page_233">[233]</SPAN></span>
Edwin got home he found water dripping from
all the top bedroom ceilings and the staircase
was a sort of Niagara. It was very exciting—but
when the plumber came he let Edwin’s
father know all about the little drilled hole, and
Edwin got the credit of the leak in the sum,
which was much larger and most unfair. His
father spoke to Edwin about this matter in his
study, and it was then that Edwin saw that he
must put an end to the sums that came true.</p>
<p>So he went up to his bedroom with his
candle and his arithmetic book. Directly he
put the candle on the chest of drawers a big
splash of water from the ceiling fell right on
the flame and it went out. He had to go right
down stairs to get another light. Then he put
the candle on the dressing table—splash—out
it went. Chair. Splash! Out! At last he
got the candle to stay alight on the washhand-stand,
which was, by some curious accident,
the only dry place in the room.</p>
<p>Then he opened his book. Somewhere in
the book he knew there must be something
that would fetch the fairy. He said the
Multiplication Table up to nine times-after
that, as you know, the worst is over. But no
fairy appeared.</p>
<p>Then he read aloud the instructions for<span class="pagenum"><SPAN name="Page_234" id="Page_234">[234]</SPAN></span>
working the different rules, including the examples
given. There was no result.</p>
<p>Then he called to the Fairy—but she did
not come.</p>
<p>Then he tried counting. Then counting and
calling mixed with other things. Like this:</p>
<p>“Oh, good Fairy! One-two-three-four-five-six-seven;
do come and help me!
Eight-nine-ten-eleven! Beautiful, dear,
kind, lovely fairy! Nine nines are eighty-one!
Dear fairy, do come! Seven million two
hundred thousand six hundred and fifty-nine!
I will always love you if you will come to
me now. Three-sevenths of five-ninths of
five-twelfths of sixteen-fiftieths. You were
so kind the other day. Two and two are
four, and three are seven! Do come now—you’ve
no idea what an awful mess you’ve got
me into. Seven nines are sixty-three—though
I know you meant it kindly. Dear Fairy.
Thirteen from thirty-seven leaves twenty-four.
Do come and see what a hole I’m in—do
come—and the product will give you the
desired result!”</p>
<p>Edwin stopped, out of breath. He looked
round him for the Fairy. But his room, with
the water dripping from the roof and the wet
towels and basins on the floor, was not a fairy-like<span class="pagenum"><SPAN name="Page_235" id="Page_235">[235]</SPAN></span>
place. Edwin saw, with a sigh, that it
was no go.</p>
<p>“I’ll have another go in prep to-morrow,”
he said. This he did.</p>
<p>The Mathematical Master was pleased with
himself that day because he had succeeded in
preventing his best boy from yielding to the
allurements of the Head-master and the
Classical side.</p>
<p>Of course his class knew at once what kind of
temper the Mathematical Master was in—you
know we always know that—and Edwin
ventured to ask that the examples that day
might be about a model steam engine.</p>
<p>“Only <i>one</i>, sir, please,” he was careful to
explain. The Master kindly consented, and
by great good fortune the example did not
deal with a faulty boiler, nor with any other
defect—but concerned itself solely with the
model engine’s speed. So Edwin knew, when
he had worked his sum, exactly what pace the
model engine he would find at home would be
good for. He worked the sum right.</p>
<p>Then he put his head into his desk and
began again.</p>
<p>“Oh, good Fairy, if a sum of £4,700 is to be
divided between A, B, and C,—do, do come
and help me. Three-tenths of a pound is<span class="pagenum"><SPAN name="Page_236" id="Page_236">[236]</SPAN></span>
six shillings, dear Fairy—eleven—twelve—thirteen—fourteen—oh,
lovely Fairy—” and
so on.</p>
<p>But no Fairy came. And Simpkins minor
whispered—</p>
<p>“What are you chunnering about?” and
stuck a pin into Edwin’s leg. “Can’t you do
the beastly example?”</p>
<p>Then quite suddenly Edwin knew what he
had to do. He made up an example for himself.
This was it.</p>
<p>“If 7,535 fairies were in my desk at school
and I subtracted 710 and added 1,006, and the
rest flew away in 783 equal gangs, how many
would be left over in the desk?”</p>
<p>When he had worked it the answer was
one. Very quickly he opened his desk again,
and there was the Arithmetic Fairy, looking
more lovely than ever in a rich gown of
indices, lined with surds, that fell to her
feet in osculating curves. In her hand, like
a sceptre, shone the starry glory of the
binomial theorem. But her eyes were starrier
still. She smiled, but her first words were
severe.</p>
<p>“You careless boy,” she said. “Why can’t
you learn to be accurate? It’s the merest
chance you got me. You should have stated<span class="pagenum"><SPAN name="Page_237" id="Page_237">[237]</SPAN></span>
your problem more clearly, and you should
have said seven thousand <i>Arithmetic</i> Fairies.
Why suppose you had found one fairy in your
desk, and it had been the Grammar Fairy, or
the Football Fairy—what would you have
done then?”</p>
<p>“<i>Is</i> there a Football Fairy?” Edwin asked.</p>
<p>“Of course. There’s a fairy for everything
you have to learn. There’s a Patience Fairy,
and a Good-temper Fairy, and a Fairy to teach
people to make bread, and another to teach
them to make love. Didn’t you really know
that?”</p>
<p>“No,” said Edwin, “but I say, look
here——”</p>
<p>“I am looking,” she said, fixing her bright
eyes on Edwin’s goggling ones, exactly as at
their first meeting.</p>
<p>“No—I mean—oh—I say—” he said.</p>
<p>“So I hear,” she said.</p>
<p>“No, but—no kid,” said he.</p>
<p>“Of course there isn’t any kid,” said she.</p>
<p>“Dear, kind, pretty Fairy,” Edwin began
again.</p>
<p>“That’s better,” said the Fairy.</p>
<p>“Didn’t you hear all I was saying to you
yesterday, when the water was dripping from
the ceiling all over the room?”</p>
<p><span class="pagenum"><SPAN name="Page_238" id="Page_238">[238]</SPAN></span></p>
<p>“From nineteen several spots. Of course
I did.”</p>
<p>“Well then,” said Edwin.</p>
<p>“You mean that you’re tired of having
things happen when you do your sums correctly?
You prefer the old way!”</p>
<p>“Yes, <i>please</i>,” said Edwin, “if you’re sure
you don’t mind? I know you meant it for
kindness, but, oh, it is most beastly, when
you get into the thick of it.” He was
thinking of the elephants, I fancy.</p>
<p>“I only did it to please you,” said the
Fairy pouting. “I’ll make everything as it
was before. Does <i>that</i> please you? And
there’s your third wish. You know we
always give three wishes. It’s customary
in the profession. What would you like?”</p>
<p>Edwin had not attended properly to this
speech, so he had only heard “as it was
before” and then “What would you like?”</p>
<p>So he said, “I should like to see you again
some day.”</p>
<p>The Arithmetic Fairy smiled at him, and
her beauty grew more and more radiant.
She had not expected this. “I made sure
you would ask for a pony or a cricket bat or
a pair of white mice,” she said. “You <i>shall</i>
see me again, Edwin. Goodbye.”</p>
<p><span class="pagenum"><SPAN name="Page_239" id="Page_239">[239]</SPAN></span></p>
<p>And the bright vision faded away in a dim
mist of rosy permutations.</p>
<p>When Edwin got home he heard that a
model engine had been discovered in the
larder, and had been given to his younger
brother. There are some wrongs, some
sorrows, to which even a pen like mine
cannot hope to do justice.</p>
<div class="dotbreak">·····</div>
<p>Edwin is now a quiet-looking grown-up
person in a black frock coat; and his hair
is slowly withdrawing itself from the top of
his learned head. I suppose it feels itself
unworthy to cover so great a brain. The
fairy has been with him, unseen, this many
a year. The other day he saw her.</p>
<p>He had been Senior Wrangler, of course;
that was nothing to Edwin. And he was
Astronomer Royal, but that, after all, he had
a right to expect.</p>
<p>But it was when he took breath from his
researches one day, and suddenly found that
he had invented a bran-new Hypernebular
Hypothesis—that he thought of the Fairy,
and thinking of her, he beheld her. She
was lightly poised above a pile of books based
on Newton’s “Principia,” and topped with his<span class="pagenum"><SPAN name="Page_240" id="Page_240">[240]</SPAN></span>
own latest work, “The Fourth and Further
Dimensions.” He knew her at once, and
now he appreciated, more than ever in his
youth, the radiance of her eyes and of her
wings, for now he understood it.</p>
<p>“Dear, beautiful Fairy,” he said, “how
glad I am to see you again.”</p>
<p>“I’ve been with you all the time,” she said.
“I wish I could do something more for you.
Is there anything you want?”</p>
<p>The great Mathematician who was Edwin
ran his hand over his thin hair.</p>
<p>“No,” he said, “no.” And then he remembered
the school and Simpkins minor
and the old desk he used to keep firework
fusees in. “Unless,” he added, “you could
make me young again.”</p>
<p>She dropped a little tear, clear as a solved
problem.</p>
<p>“I can’t do <i>that</i>,” she said. “You can’t
have <i>everything</i>. The only person who could
do that for you is the Love Fairy. If you
had found her instead of me you would have
been always young, but you wouldn’t have
invented the Hypernebular Hypothesis.”</p>
<p>“I suppose I shall never never find her
now?” said Edwin, and as he spoke he
looked out of the window to the garden,
where a girl was gathering roses.</p>
<p><span class="pagenum"><SPAN name="Page_241" id="Page_241">[241]</SPAN></span></p>
<p>“I wonder!” said she. “The Love Fairy
doesn’t live in schooldesks or books on
Fourth Dimensions.”</p>
<p>“I wonder!” said Edwin. “Does the Love
Fairy live in gardens?”</p>
<p>“I wonder!” echoed the Arithmetic Fairy,
a little sadly, and she spread her bright
wings and flew out of the open window and
out of this story.</p>
<p>Edwin went out into the rose garden. And
did he find the Love Fairy?</p>
<p>I wonder!</p>
<div class="dotbreak">·····</div>
<p>PS.—The Fellow of Trinity says the
answer to that sum is nineteen pounds,
nineteen shillings and two pence and one-third
of a penny.</p>
<p>Does the Fellow of Trinity speak the truth?</p>
<p>I wonder!</p>
<hr class="chap" />
<div style="break-after:column;"></div><br />