SSC GD 2019 PYQ — Question 70

SSC GD Constable (English) - 15 Feb 2019 Shift 2 • Quantitative Aptitude • Q70

The ratio of ages of A and B, 4 years ago, was 5 : 7. The ratio of their ages after 4 years from now will be 7 : 9. What will be the ratio of ages of A and B after 12 years from now?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 9 : 11

Let the age of A and B 4 years ago be 5x and 7x 

According to question,

(5x + 8)/(7x + 8) = 7 : 9

45x + 72 = 49x + 56

4x = 16, x = 4

Present age of A and B is 5x + 4 and 7x + 4 i.e 24 yrs & 32 yrs 

The ratio of ages of A and B after 12 years from now will be 

24 + 12 : 32 + 12 = 9 : 11