The difference between the present ages of Arun and Barun is 14 years. 7 years a

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Home ‣ Verbal Reasoning ‣ Problems on Ages See What Others Are Saying!

Question
The difference between the present ages of Arun and Barun is 14 years. 7 years ago the ratio of their ages was 5 : 7 respectively. The present age of Barun is :
Options
A. 35 years
B. 42 years
C. 49 years
D. 56 years

Correct Answer

56 years

Explanation

Let the present ages of Arun and Barun are x and x +14 years respectively; then
According to question, 7 years ago the ratio of their ages was 5 : 7
(x - 7)/(x + 14 - 7) = 5/7
? (x - 7)7 = 5(x+14 - 7)
? 7x - 49 = 5x + 35
? 2x = 84
? x = 42
Hence, age of Barun = 42 + 14 = 56 years