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If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at
present is 52 years, what is the ratio of their present ages ?
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- 5 : 6
- 6 : 7
- 7 : 8
- 4 : 5
Correct Option: B
4 years ago,
P’s age = 5x years
Q’s age = 6x years
According to the question,
5x + 4 + 6x + 4 = 52
⇒ 11x = 52 – 8 = 44
| ⇒ x = | = 4 | |
| 11 |
∴ Required ratio
= (5x + 4) : (6x + 4)
= (5 × 4 + 4) : (6 × 4 + 4)
= 24 : 28 = 6 : 7
