Question

The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):
1. 32 years & 40 years
2. 40 years & 38 years
3. 28 years & 32 years
4. 20 years & 25 years.

Answer 1

Correct Answer - Option 1 : 32 years & 40 years

Given:

The ratio of the present age of Annu and Raj = 4 : 5

Then after 8 years ratio of their age = 5 : 6

Calculation:

Let be assume the present age of Annu and Raj is 4x and 5x respectively

⇒ (4x + 8)/(5x + 8) = 5/6

⇒ 24x + 48 = 25x + 40

⇒ x = 8

⇒ The age of Annu = 4x = 4 × 8 = 32

⇒ The age of Raj = 5x = 5 × 8 = 40

∴ The required result will be 32 years, and 40 years respectively.