Question
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
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Let the numbers be 3x and 5x.
Then, \(\frac{3x-9}{5x-9} = \frac{12}{23}\)
\(\Rightarrow\) 23(3x - 9) = 12(5x - 9)
\(\Rightarrow\) 9x = 99
\(\Rightarrow\) x = 11.
Therefore The smaller number = (3 x 11) = 33.
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