Question

The ratio of ages of A and B is 7 : 9. B is one year older than C. The ratio of the ages of A and C is 4 : 5. What will be the age of B after 3 years?
1. 30 years
2. 35 years
3. 48 years
4. 39 years
5. 45 years

Answer 1

Correct Answer - Option 4 : 39 years

Given:

A : B = 7 : 9

A : C = 4 : 5

B = C + 1

Calculation:

Let the ages of A and B be 7x and 9x.

So, C's age = 9x - 1

7x/(9x - 1) = 4/5

⇒ 35x = 36x - 4

⇒ x = 4 years

B's age after 3 years = 9 × 4 + 3 = 39 years

∴ The answer is 39 years