# What will be the Smaller Number? If

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

- 27
- 33
- 49
- 55

**Answer: (2) 33
Explanation:-**

Let be the two numbers are 3X and 5X.

According to the question,

(3X – 9)/(5X – 9) = 12/23

23 x (3X – 9) = 12 x (5X – 9)

69X – 207 = 60X – 108

69X – 60X = 207 – 108

9X = 99

X = 11

The numbers are = 3 x 11 = 33 and 5 x 11 = 55

Hence, the smaller is 33