InterviewSolution
| 1. |
The age of a father 3 years ago is same as the age of a mother 3 years after, and the ratio of the ages of the father 2 years and son 4 years after is 10∶ 3. What is the ratio of age of the mother after 3 years and the son after 2 years if the present age of the mother is 4 times the age of the son?1. 10∶ 32. 7∶ 23. 6∶ 14. 9 ∶ 45. Cannot be determined |
|
Answer» Correct Answer - Option 2 : 7∶ 2 The ratio age of father 2 years and son 4 years after is 10∶ 3 ⇒ The present age of the father = 10x– 2 The present age of the son = 3x– 4 The present age of the mother is 4 times that of son ⇒ Present age of the mother = 4(3x– 4) = 12x– 16 The age of the father 3 years ago is same as the age of the mother 3 years after ⇒ 10x– 2 – 3 = 12x– 16 + 3 ⇒ 2x = 8 ⇒ x = 4 ∴ The present age of the mother = 12× 4– 16 = 32 The present age of the son = 3× 4– 4 = 8 ∴ The ratio of age of motherafter 3 years and sonafter 2 years ⇒ (32 + 3)/(8 + 2) = 35/10 = 7/2or 7∶ 2 ∴ The ratio of age of motherafter 3 years and sonafter 2 years is 7∶ 2 |
|