Two numbers are in the ratio of 3 : 5. If 9 is subtracted

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Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each then they are in the ratio 12 : 23. The smaller number is

1. 55
2. 33
3. 28
4. 36

Correct Option: B

Numbers = 3x and 5x (let)
According to question,

3x − 9	=	12
5x − 9	=	23

⇒ 69x – 207 = 60x – 108
⇒ 69x – 60x = 207 – 108

⇒ 9x = 99 ⇒ x =	99	= 11
	9

∴ Smaller number = 3x
= 3 × 11 = 33