Question

The denominator of a fraction is greater than its numerator by $11$. If $8$ is added to both its numerator and denominator, then it becomes $\frac{3}{4}$. The fraction is?

• A. $\frac{25}{26}$
• B. $\frac{35}{36}$
• C. $\frac{26}{35}$
• D. $\frac{25}{36}$

Answer 1

The correct option is D $\frac{25}{36}$

Let numerator $=$x, then denominator $=x+11$
Fraction $=\frac{x}{x+11}$
According to the question, $\frac{x+8}{x+11+8}=\frac{3}{4}$
$\Rightarrow \frac{x+8}{x+19}=\frac{3}{4}$
$\Rightarrow 4x+32=3x+57$
$\Rightarrow x=25$
Fraction $=\frac{25}{25+11}=\frac{25}{36}$.