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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:

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1. 

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]. 27
[B]. 33
[C]. 49
[D]. 55

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.

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