The ratio between Sumit and Prakash 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?

3 : 4

Present age of Sumit and Prakash = 2R, 3R

ATQ,

 Difference of age ⇒ 1R = 6 years

Therefore,

Present age of Sumit = 2 × 6 = 12 years

Present age of Prakash = 3 × 6 = 18 years

After six years ratio of age will be = (12 + 6) : (18 + 6)

                                                      = 18 : 24 = 3 : 4