The present ages of A and B are in the ratio 3 : 4. Ten

The present ages of A and B are in the ratio 3 : 4. Ten years ago, this ratio was 4 : 7. The present ages of A and B are respectively :

1. 18 years, 27 years
2. 21 years, 28 years
3. 24 years, 32 years
4. 27 years, 36 years

A’s present age = 3x years (let)
B’s present age = 4x years
According to the question,
10 years ago,

3x − 10	=	4
4x − 10	=	7

⇒ 21x – 70 = 16x – 40
⇒ 21x – 16x = 70 – 40
⇒ 5x = 30

⇒ x =	30	= 6
	5

∴ A’s present age
= 3x = 3x × 6 = 18 years
B’s present age
= 4x = 4 × 6 = 24 years