Four years ago, the ratio of A’s age to B’s age was

Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is

Let the age of A and B four years ago be 11x and 14x years respectively.
According to the question,
After 4 years from now,

11x + 8	=	13
14x + 8	=	16

⇒ 176x + 128 = 182x + 104
⇒ 182x – 176x = 128 – 104

⇒ 6x = 24 ⇒ x =	24	= 4
	6

∴ A’s present age = (11x + 4) years
= 11 × 4 + 4 = 48 years