Problems based on Age for IBPS, SBI, RBI, UPSC, State-psc Railways,SSC Clerk. PO

[Q] Six years ago, the ratio of the ages of Vimal 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) 14
(b) 26
(c) 16
(d) 24

Solution

Answer    (c)
Explanation
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Given that , six years ago, the ratio of the ages of Vimal and Saroj = 6 : 5

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

After 4 years, the ratio of their ages = 11 : 10
=> (6x+10) : (5x + 10) = 11 : 10
=> 10(6x + 10) = 11(5x + 10)
=> 5x = 10
=> x = 105 = 2

Saroj's present age = 5x + 6 = 5×2 +6 = 16