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