Discussion

One year ago, the ratio of Sooraj's and Vimal's age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Vimal?

Answer: C

Let the age of Sooraj and Vimal, 1 year ago, be \(6x\) and \(7x\) respectively

Given that, four years hence, this ratio would become 7:8

\(⇒ ( 6 x + 5 ) : ( 7 x + 5 ) = 7 : 8\)

\(⇒ 8 ( 6 x + 5 ) = 7 ( 7 x + 5 )\)

\(⇒ 48 x + 40 = 49 x + 35\)

\(⇒ x = 5 \)

Vimal's present age = \(7 x + 1 = 7 × 5 + 1 = 36 \) years

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