Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
[A].
[B].
[C].
[D].
Answer: Option B
Explanation:
Let the numbers be 3x and 5x.
Then, | 3x – 9 | = | 12 |
5x – 9 | 23 |
23(3x – 9) = 12(5x – 9)
9x = 99
x = 11.
The smaller number = (3 x 11) = 33.