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Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13. Their present ratios are 5 : 7.
What is the present age of A ?
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- 60 years
- 70 years
- 50 years
- 40 years
Correct Option: C
18 years ago,
A’s age = 8x years
B’s age = 13x years
∴ At present,
| = | ||
| 13x + 18 | 7 |
⇒ 56x + 126 = 65x + 90
⇒ 65x – 56x = 126 – 90
| ⇒ 9x = 36 ⇒ x = | = 4 | |
| 9 |
∴ A’s present age = 8x + 18
= 8 × 4 + 18 = 50 years
