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Ram is 20 years younger than Shyam. 5 years ago, the ratio of their ages was 3 : 5. The sum of their present ages is :
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- 75 years
- 80 years
- 90 years
- 95 years
- 75 years
Correct Option: C
Let Ram’s present age = y years
∴ Shyam’s present age = (y + 20) years
According to the question,
| 5 years ago, | y - 5 | = | 3 |
| y + 20 - 5 | 5 |
| ⇒ | y - 5 | = | 3 |
| y + 15 | 5 |
⇒ 5y – 25 = 3y + 45
⇒ 5y – 3y = 25 + 45
⇒ 2y = 70
⇒ y = 70 ÷ 2 = 35
∴ Sum of present ages of Ram and Shyam = (2y + 20) years
Sum of present ages of Ram and Shyam = (2 × 35 + 20) years = 90 years
