shakunthala devi puzzles Gold coins:

A rich merchant had collected many gold coins. He did not want anybody
to know about them. One day, his wife asked, "How many gold coins do we
have?"
After pausing a moment, he replied, "Well! If I divide the coins into
two unequal numbers, then 37 times the difference between the two
numbers equals the difference between the squares of the two numbers."
The wife looked puzzled. Can you help the merchant's wife by finding
out how many gold Ò

37(x-y)=x^2-y^2. u no tht x^2-y^2=(x-y)(x+y).so (x-y) cancels on both
sides to give x+y=37.so sum of unequal halves=37 which is the req

answer.