SSC CGL 2022 PYQ — Question 74

SSC CGL - 02 Dec 2022 - Shift 4 • Quantitative Aptitude • Q74

The ratio between the present ages of A and B is 2 : 3, respectively. After 5 years, the ratio between their ages will be 3 : 4. What is B's age at present?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 15 years.

Let the present ages of A and B be 2x and 3x respectively

According to the given question,

⇒ 2x+53x+5=34{{2x + 5} \over {3x + 5}} = {3 \over 4}

⇒ 8x + 20 = 9x + 15

⇒ x = 5

So,

The present age of B = 3x = 3 × 5 = 15 years