Question

Mohan is 5 years elder than his sister and sum of square of their ages are 2825 years.
Find age of Mohan.

Answer 1

Heya,

Here is your answer...

↓↓↓↓↓↓↓↓↓↓

Let's take sister as x...

${(5x)}^{2} + {x}^{2} = 2825 \\ = {25x}^{2} + {x}^{2} = 2825 \\ = {x}^{2} + {x}^{2} = \frac{2825}{25 } \\ = {2x}^{2} = 113 \\ = {x}^{2} = \frac{113}{2} \\ = {x}^{2} = 56.5 \\ x = \sqrt{56.5} \\ x = 7.52$

So,

$5 \times 7.52 = 37.6$

Therefore Mohan is 37 years old...

_______________________

I hope it helps you...

_______________________