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Two numbers are in the ratio 3 : 5. If 6 is added to each of them, the ratio becomes 2 : 3. The numbers are
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- 21 and 35
- 30 and 50
- 24 and 40
- 18 and 30
Correct Option: D
Let the numbers be 3x and 5x.
According to the question,
| = | ||
| 5x + 6 | 3 |
⇒ 10x + 12 = 9x + 18
⇒ 10x – 9x = 18 – 12
⇒ x = 6
Numbers are :
3x = 3 × 6 = 18 and
5x = 5 × 6 = 30
