Problem on number | Aptitude Question and Answer

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

A. 99

B. 177

C. 255

D. 114


Solution

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.

Answer: D

 

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