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?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e 4 : 5
| Understanding | Application |
| We will use the concepts of ratio to find the ages. |
Let the ages of A & B before 8 years be 2x & 3x. The ratio of ages before 4 years will be ⇒ (2x + 4) / (3x + 4) = 5 / 7 ⇒ 14x + 28 = 15x + 20 ⇒ x = 8 The ages of A & B after 8 years will be ⇒ (2x + 16) / (3x + 16) ⇒ 32 / 40 = 4 / 5 |