The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its… · ABC26GN1760
Subject: General Aptitude · Chapter: Problems on Numbers
The difference between the numerator and the denominator of a fraction is 5. If 5 is added to its denominator, the fraction is decreased by $1 \frac{1}{4}$. Find the value of the fraction.
(a)$\frac{1}{6}$
(b)$2 \frac{1}{4}$
(c)$3 \frac{1}{4}$
(d)6
Answer
Answer (as printed): B
Explanation
Let the denominator be $x$. Then, numerator $=x+5$. Now, $\frac{x+5}{x}-\frac{x+5}{x+5}=\frac{5}{4} \Leftrightarrow \frac{x+5}{x}=\frac{5}{4}+1=\frac{9}{4}=2 \frac{1}{4}$. So, the fraction is $2 \frac{1}{4}$.
Explanation as extracted from the printed page; notation may be imperfect.