The ratio of the ages of A and B, 8 years ago, was 2 : 3. Four years ago, the ratio of their ages was 5 : 7. What will be the ratio of their ages 8 years from now ?

4 : 5

Age 8 years ago,

A : B

2 : 3

Age 4 years ago,

A : B

5 : 7

To compare, we multiply initial ratio with 2,

⇒(2 : 3) x 2 = 4 : 6

⇒ 7 - 6 = 1 unit = 4 years.

Age 4 years ago = 5 x 4 = 20 : 7 x 4 = 28

⇒ Age 8 years from now,

⇒ 20 + 12 : 28 + 12

⇒ 32 : 40 = 4 : 5.