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

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

[A].

104

[B].

114

[C].

315

[D].

325

Answer: Option B

Explanation:

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

xy = 114.