The ages of Sonal and Manoj are in the ratio of 7:5. Ten years since the ratio of their ages will be 7:5. Find their present age.

Given, the ratio of the present ages of Sonal and Manoj = 7 : 5

Let the age of Sonal be `7x` yrs

And the age of Manoj be `5x` yrs

Ten years later their ages will be (7x + 10) and (5x + 10)

Given the ratio of the ages after 10 years = 9:7

Assume the ages as 9x and 7x

∴ 7x + 10 + 5x + 10 = 9x + 7x

⇒ 12x – 16x = – 20

⇒ – 4x = – 20

∴ x = 5

Therefore the present age of Sonal = 7x = 7 × 5 = 35 years

And the present age of Manoj = 5x = 5 × 5 = 25 years