Four years ago, the ratio of the age of A and B was 2 :

Four years ago, the ratio of the age of A and B was 2 : 3 and after four years it will become
5 : 7. Find their present age.

1. 36 years and 40 years
2. 32 years and 48 years
3. 40 years and 56 years
4. 36 years and 52 years

Four years ago let the age of A and B be 2x and 3x years respectively.
According to the question

2x + 4 + 4	=	5
3x + 4 + 4	=	7

⇒	2x + 8	=	5
	3x + 8		7

⇒ 14x + 56 = 15x + 40
⇒ x = 16
Present age of A = 2x + 4
= 2 × 16 + 4 = 36 years
Present age of B
= 3x + 4 = 3 × 16 + 4
= 52 years