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

A    104

B    114

C    315

D    325

Solution

Correct 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

So, xy = 114.

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