Two numbers are in ratio $3 : 5$ . If $9$ is subtracted from each the new number are in the ratio $\frac{12}{23}$ . the smaller number is

22

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33

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49

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55

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Solution

The correct option is C $33$
Let the no. be $3 x$ and $5 x$
$⟹ \frac{3 x - 9}{5 x - 9} = \frac{12}{23}$
$⟹ x = 11$
Smaller no $= 33$

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