Question

Ratio of present ages of P and Q are 7 : 3. After four years their ages will be in the ratio 2 : 1. Then the present age of P (in years) is:
1. 24
2. 28
3. 30
4. 32

Answer 1

Correct Answer - Option 2 : 28

Given:

The present age of P ∶ Q = 7 ∶ 3

After four years age of P ∶ Q = 2 ∶ 1

Calculation:

P ∶ Q = 7 ∶ 3

Let the age of P and Q be 7x and 3x

According to the question, we have

(7x + 4)/(3x + 4) = 2/1

⇒ 7x + 4 = 6x + 8

⇒ 7x - 6x = 8 - 4

⇒ x = 4

Now,

The present age of P = 7x

⇒ 7 × 4

⇒ 28

∴ The present age of P is 28 years.