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

The sum of two numbers is 25 and their difference is Find their 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

xy = 84