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Two numbers are in the ratio 1 1 : 2 2 . 2 3
The greater of the numbers is :Three numbers are in the ratio 1 : 2 : 3 . 2 3 4
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- 27
- 36
- 48
- 64
Correct Option: C
Let the numbers be
| x and | x | ||
| 2 | 3 |
According to question,
| = | x + 15 | (5/3)/(5/2) | ||
| 2 | ||||
| + 5 | ||||
| 3 | ||||
| ⇒ | = 2/3 | |||
| 2 | ||||
| 3 | ||||
| ⇒ | = | ||
| 2(8x + 45) | 3 |
| ⇒ | = | ||
| 16x + 90 | 3 |
⇒ 27x + 270 = 32x + 180
⇒ 32x – 27x = 270 – 180 = 90
⇒ 5x = 90 ⇒ x = 18
∴ The greater number
| = | x = | × 18 = 48 | ||
| 3 | 3 |