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Question

The sum of two number is 25 and their difference is 13. Find their product.

Options:
A .  104
B .  114
C .  315
D .  325
Answer: Option B

Let the numbers be x and y.


Then, x + y = 25 and x - y = 13.


4xy = (x + y)2 - (x- y)2


   = (25)2 - (13)2


   = (625 - 169)


   = 456


Therefore  xy = 114.


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