If the sum of squares of two positive numbers is 2437 and square root of one number is 7, find the other number.

Correct option is A

Given:

The sum of the squares of two numbers is 2437.

The square root of one number is 7, i.e., the number is $$7^2 = 49$$​​

Concept Used:

If two numbers are a and b, and their squares sum to a given value, then:

​$$a^2 + b^2 = \text{Given Sum}$$​​

We can rearrange to solve for b.

Solution:

​$$a^2 + b^2 = 2437$$​​

Substituting$$a^2 = 49^2 = 2401$$​​

​$$b^2 = 2437 – 2401$$​​

​$$b^2 = 36$$​​

b=6

Option (a) is right.