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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:

27
33
49
55
Explanation:

Let the numbers be 3x and 5x.

Then, $\dfrac{3x-9}{5x-9} = {12}{23}$

=> 23(3x - 9) = 12(5x - 9)

=> 9x = 99

=> x = 11.
ஃ The smaller number = (3 x 11) = 33.
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