The present ages of two cousins is in the ratio of 3 : 4. After 4 years, their ages are in the ratio of 10 : 13. The ratio of the ages of the two cousins after 6 years is:

Question

Question

This question was previously asked in

CRPF Head Constable Ministerial Official Paper (Held On: 24 Feb 2023 Shift 2)

Answer 1

Given:

Present age ratio = 3 : 4

Age ratio after 4 years = 10 : 13

Calculation:

Let the present ages of the two cousins be 3x and 4x years respectively.

After 4 years, their ages will be (3x + 4) and (4x + 4) years respectively.

According to the question:

⇒ (3x + 4) / (4x + 4) = 10 / 13

⇒ 13(3x + 4) = 10(4x + 4)

⇒ 39x + 52 = 40x + 40

⇒ 52 - 40 = 40x - 39x

⇒ 12 = x

Present ages are:

First cousin = 3x = 3 × 12 = 36 years

Second cousin = 4x = 4 × 12 = 48 years

Ages after 6 years:

First cousin = 36 + 6 = 42 years

Second cousin = 48 + 6 = 54 years

Ratio of their ages after 6 years = 42 : 54 ⇒ 7 : 9

The ratio of the ages of the two cousins after 6 years is 7 : 9.