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?

Let their ages be 2x and 3x years.
∴ 3x - 2x = 6
∴ x = 6
∴ Sumit's age = 12 years, Prakash's age = 18 years
After 6 years, Sumit's age = 18 years
After 6 Years, prakash's age = 24 years
∴ Required ratio of their ages = 18 : 24 = 3 : 4