113.--THE TORN NUMBER.

[Illustration]

I had the other day in my possession a label bearing the number 3 0 2 5

in large figures. This got accidentally torn in half, so that 3 0 was on

one piece and 2 5 on the other, as shown on the illustration. On looking

at these pieces I began to make a calculation, scarcely conscious of

what I was doing, when I discovered this little peculiarity. If we add

the 3 0 and the 2 5 together and square the sum we get as the result the

complete original number on the label! Thus, 30 added to 25 is 55, and

55 multiplied by 55 is 3025. Curious, is it not? Now, the puzzle is to

find another number, composed of four figures, all different, which may

be divided in the middle and produce the same result.

Amusements in Mathematics · 第 135 / 970 题