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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 $48$ times the difference of the numbers is equal to the difference of their squares. The wife looked puzzled. Can you help the merchant’s wife by finding out how many gold coins the merchant has?

- $48$$
- $96$
- $32$
- $36$