Question

A rich merchant had collected many gold coins. He did not wantanybody to know about them. One day, his wife asked, "How many goldcoins do we have?"

After pausing a moment, he replied, "Well! If I divide the coinsinto two unequal numbers, then 32 times the difference between thetwo numbers equals the difference between the squares of the twonumbers."

The wife looked puzzled. Can you help the merchant's wife byfinding out how many gold coins they have?