Question

The ratio of the present ages of Prabhu and Ramesh is 4 : 7, respectively. After 5 years, the ratio will change to 5 : 8. Find the present age of Prabhu.

• A. 24 years
• B. 22 years
• C. 20 years
• D. 25 years

Answer 1

Answer:

C. 20 years

Solution:

Given:

The ratio of the present ages of Prabhu and Ramesh is 4 : 7

After 5 years, the ratio will change to 5 : 8.

Calculation:

The age of Prabhu is 4x

And age of Ramesh is 7x

According to the question

⇒ $\frac{(4x + 5)}{(7x + 5)} = \frac{5}{8}$

⇒ 32x + 40 = 35x + 25

⇒ 3x = 15

⇒ x = 5

Age of Prabhu is 4x

⇒ $4\times{5} = 20 years$

∴ The present age of Prabhu is 20 years.