Question

Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each then they are in the ratio of 12 : 23. Find smaller number.
1. 33
2. 55
3. 49
4. 27

Answer 1

Correct Answer - Option 1 : 33

Given:

Two numbers are in the ratio of 3 : 5

After subtracting 9 from each the ratio of numbers become 12 : 23

Calculations:

Let the number be 3x and 5x

According to the question

⇒ (3x – 9)/(5x − 9) ​= 12/23​

⇒ 23(3x − 9) = 12(5x − 9)

⇒ 69x − 207 = 60x − 108

⇒ 69x − 60x = 207 − 108

⇒ 9x = 99

⇒ x = 11

∴ The smaller number is 3 × 11 = 33