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 ?
Answer & explanation
Correct answer: option 1
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.