Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the ratio becomes 12 : 23. What is the smaller number?
A. 55
B. 33
C. 36
D. 30
A. 55
B. 33
C. 36
D. 30
Best answer
Answer: B. 33
Answer: (B) 33
Let the numbers be 3k and 5k. Then 23(3k − 9) = 12(5k − 9).
69k − 207 = 60k − 108, so 9k = 99 and k = 11. Smaller number = 33.
Check: 24 : 46 = 12 : 23.
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