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Two numbers are in the ratio 17 : 45. One-third of the smaller is less than 1/5 of the bigger by 15. The smaller number is
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25 1 2 -
67 1 2 -
76 1 2 -
86 1 2
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Correct Option: C
Let the numbers be 17x and 45x respectively.
According to the question,
| of 45x – | of 17x = 15 | ||
| 5 | 3 |
| ⇒ 9x − | = 15 | |
| 3 |
| ⇒ | = 15 | |
| 3 |
⇒ 10x = 15 × 3
| ⇒ x = | = | ||
| 10 | 2 |
∴ The required number
| = 17x = | = | = 76 | |||
| 2 | 2 | 2 |
