120.--THE FARMER AND HIS SHEEP.

The farmer had one sheep only! If he divided this sheep (which is best

done by weight) into two parts, making one part two-thirds and the other

part one-third, then the difference between these two numbers is the

same as the difference between their squares--that is, one-third. Any

two fractions will do if the denominator equals the sum of the two

numerators.

Amusements in Mathematics · 第 626 / 970 题