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Two numbers are in the ratio 1 1 : 2 2 , 2 3
when each of these is increased by 15, they are in the ratio1 2 : 2 1 . The greater of the numbers 3 2
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- 27
- 36
- 48
- 64
Correct Option: C
| First number = | |
| 2 |
| second number = | |
| 3 |
According to the question,
| = | + 15 | = (5/3)/(5/2) | ||
| 2 | ||||
| + 15 | ||||
| 3 | ||||
| ⇒ | =(5/3) × (2/5) = 2/3 | |||
| 2 | ||||
| 3 | ||||
| ⇒ | = | ||
| (8x + 45) × 2 | 3 |
⇒ 32x + 180 = 27x + 270
⇒ 32x – 27x = 270 – 180
⇒ 5x = 90
| ⇒ x = | = 18 | |
| 5 |
| ∴ Larger number = | |
| 3 |
| = | = 48 | |
| 3 |
