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Two numbers are in the ratio of 3 : 5. If 9 be subtracted from each, then they are in the ratio of 12 : 23. Find the numbers.
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- 15, 28
- 36, 115
- 33, 55
- 60, 69
Correct Option: C
According to the question,
| = | ||
| 5x − 9 | 23 |
(Numbers = 3x and 5x )
⇒ 69x – 207 = 60x – 108
⇒ 9x = 207 – 108 = 99
⇒ x = 11
∴ Required numbers ⇒ 3 × 11
= 33 and 5 × 11 = 55
Second Method :
Here, a = 3, b = 5, c = 12, d = 23, x = 9
| 1st Number = | |
| ad − bc |
| = | |
| 3 × 23 − 5 × 12 |
| = | |
| 69 − 60 |
| = | = 33 | |
| 9 |
| 2nd Number = | |
| ad − bc |
| = | |
| 3 × 23 − 5 × 12 |
| = | |
| 69 − 60 |
| = | = 55 | |
| 9 |
Numbers are 33, 55
