Two numbers are in the ratio 3:5. If 9 is subtracted from each number

• Ratio Proportion

Two numbers are in the ratio 3:5. If 9 is subtracted from each number, then they are in the ratio of 12:23. What is the second number?

1. 44
2. 55
3. 66
4. 77

Answer

Let numbers are 3x and 5x.

3x - 9 : 5x - 9 :: 12 : 23

23*(3x-9) = (5x-9)*12

x = 11

Second number is 5x.

The correct option is B.