The present age of Kajol and Rohit are in the ratio of 7 : 8 respectively. After 6 years, the respective ratio between the age of Kajol and Rohit will be 9 : 10. What is the age of Rohit after 5 years?

Let the present age of Kajol and Rohit is 7x and 8x respectively.
After 6 years, the age of Kajol = 7x + 6
After 6 years, the age of Rohit = 8x + 6
The ratio of age of Kajol and Rohit after 6 years is 9 : 10.
⇒ (7x + 6)/(8x + 6) = 9/10
⇒ 70x + 60 = 72x + 54
⇒ 2x = 6
⇒ x = 3

The age of Rohit after 5 years = 8 × 3 + 5 = 24 + 5 = 29 years

∴The age of Rohit after 5 years is 29 years.