Ratio and Proportion - Arithmetic Aptitude Questions and Answers

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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:

Answer : Option B

Explanation :

Let the numbers be 3x and 5x

Then, $\frac { 3X-9 } {5X-9 }$ = $\frac { 12 } { 23 }$

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

9x = 99

x = 11.

The smaller number = (3 x 11) = 33.

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