Six years ago, the ratio of the ages of Vivan and Saroj was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Saroj’s age at present?

Question

Six years ago, the ratio of the ages of Vivan and Saroj was 6:5. Four years hence, the ratio of their ages will be 11:10. What is Saroj’s age at present?

A. 15

B. 16

C. 17

D. 18

Answer: B. 16

Solution:

Given that, six years ago, ratio of the ages of Vivan and Saroj = 6:5

Hence we can assume that,
age of Vivan six years ago = 6x
age of Saroj six years ago = 5x

After 44 years, the ratio of their ages = 11:10

⇒ (6x + 10) : (5x + 10) = 11:10

⇒ 10(6x + 10) = 11(5x + 10)

⇒ 5x = 10

⇒ x = 10/5 = 2

Saroj’s present age
= (5x + 6) = 5 × 2 + 6 = 16

Hence, Saroj’s present age is 16.

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