Question

Pawan is 10 years older than Arav. 5 years ago one seventh of pawan's age was equal to one fifth of Arav's age. Find their present ages.

Answer 1

Arav is 30 and Pawan is 40

Explanation:

We can call Arav's age x and Pawan's age x + 10, therefore we can write the following equation:

1/7((x + 10) - 5) = 1/5(x - 5)

1/7(x + 5) = 1/5(x - 5)

5(x + 5) = 7(x - 5)

5x + 25 = 7x - 35

-2x = -60

x = 30 so x + 10 = 40