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Question

A rich merchant had collected many gold coins He did not want any body to know about him One day his wife asked "Now many gold coins do we have?" After pausing a moment he replied "Well ! if divide the coins into two unequal numbers then 48 times the difference between the two numbers equal the difference between the square of the two numbers" The wife looked puzzled Can you help the merchant's wife by finding out how many gold coins the merchant has?

A
96
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B
53
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C
43
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D
48
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Solution

The correct option is D 48
48(xy)=x2y2
48(xy)=(xy)(x+y)
(x+y)=48
So sum of the unequal gold coin=48

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