Question

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

• A. 30 years
• B. 34 years
• C. 40 years
• D. 42 years

Answer 1

Answer:

B. 34 years

Let the present age of Ram and Rohit is 7x and 8x After 6 years, the age of Ram = 7x + 6 After 6 years, the age of Rohit = 8x + 6 The ratio of age of Ram 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 10 years = 8 × 3 + 10 = 24 + 10 = 34 years