Question

Two numbers 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

• A. 27
• B. 33
• C. 49
• D. 55

Answer 1

The correct option is B 33

Let the number are 3x and 5x
then according to the question
$\frac{3x-9}{5x-9}=\frac{12}{23}$
$\Rightarrow 23(3x-9)=12(5x-9)$
$\Rightarrow 69x-60x=207-108$
$\Rightarrow 9x=99$
$\Rightarrow x=11$
$\therefore$ smaller number is =$3\times 11=33$