Q .The ages of Vivek and Sumit are in the ratio 2 : 3 .after 15 years their ages will be in the ratio 6 : 8 . Find the age of Sumit.

Let Vivek age = 2x

& Sumit age = 3x

After 15 years -

Vivek age = 2x + 15

& Sumit age = 3x + 15

2x + 15 / 3x + 15 = 6 / 8

8(2x + 15) = 6(3x + 15)

16x + 120 = 18x + 90

2x = 30

x = 15

Age of Sumit = 3x = 45