The ratio between Sumit’s and Prakash’s age at present

The ratio between Sumit’s and Prakash’s age at present is 2 : 3. Sumit is 6 years younger than Prakash. The ratio of Sumit’s age to Prakash’s age after 6 years will be

Sumit’s present age = 2x years
Prakash’s present age = 3x years
∴ 3x– 2x = 6
x = 6
∴ Required ratio
= (2 × 6 + 6) : (3 × 6 + 6)
= 18 : 24 = 3 : 4