SSC Selection Post 2024 PYQ — Question 73

SSC Selection Post - Higher Secondary Level - 21 June 2024 - Shift 2 • Quantitative Aptitude • Q73

The ages of A and B are in the ratio 4 : 7, respectively. After 8 years, the ratio of their ages will be 2 : 3. What is the sum of the ages of A and B (in years)?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 44.

According to the question,

⇒ 4x+87x+84x+8\over7x+8 = 232\over3

⇒ 12x + 24 = 14x + 16

⇒ 2x = 8

⇒ x = 4

Sum of ages of A and B = 4x + 7x = 11x = 44 years