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.
120.--THE FARMER AND HIS SHEEP.
From Amusements in Mathematics by Henry Ernest Dudeney.
