Q. The sum of squares of two numbers is 146. If the square of their difference is 36, then the product of both the numbers is

The correct answer is (C) 55

Explanation:

Let’s solve this step by step.

1) Let’s say the two numbers are x and y

2) Given information:
x² + y² = 146
(x – y)² = 36

3) From (x – y)² = 36:
x² + y² – 2xy = 36

4) From x² + y² = 146:
Substituting this in the above equation
146 – 2xy = 36
-2xy = 36 – 146
-2xy = -110
xy = 55

5) Therefore, the product of both numbers is 55, (C) 55 is the correct answer.