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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

Correct Answer: 33

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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