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:

Question:
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.