Question

The denominator of fraction is 6 more than its numerator. If 2 is added to both the numerator and denominator, the fraction becomes $1/2$. Find the fraction.

• A. $2/5$
• B. $4/6$
• C. $6/10$
• D. $1/5$

Answer 1

The correct option is A $2/5$

From given, we have,

$\frac{x+2}{x+6+2}=\frac{1}{2}$

$\frac{x+2}{x+8}=\frac{1}{2}$

$2x+4=x+8$

$x=4$

Hence, the ratio is,

$\frac{4}{4+6}=\frac{4}{10}=\frac{2}{5}$