Question

In a given fraction if the numerator is multiplied by $3$ and the denominator is subtracted by $3$, the fraction becomes $\frac{18}{11}$ and if the numerator is increased by $8$ and the denominator doubled the fraction becomes $\frac{2}{5}$. The sum of the numerator and the denominator of the given fraction is

• A. $27$
• B. $33$
• C. $37$
• D. $42$

Answer 1

The correct option is A $27$

Given $\frac{3a}{b-3}=\frac{18}{11}$ and $\frac{a+8}{2b}=\frac{2}{5}$
$\Rightarrow a=2$ and $b=25$