The ratio of the ages of A and B, four years ago was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 11 : 13, What is the ratio of their present ages?

9 : 11

Here,

4 fears ago, age was in ratio

A : B

4 : 5

Eight years hence,

A : B

11 : 13

⇒ To compare both ratio we multiply initial ratio with 2,

⇒ (4 : 5) x 2 = 8 : 10

⇒ (13 - 10) units = 3 units = 12 yrs

⇒ 1 unit = 4 yrs,

⇒ Initial age = (8 : 10) x 4 = 32 and 40 years,

⇒ Current age = 32 + 4 and 40 + 4 = 36 : 44 = 9 : 11.