Question

A fraction becomes $\frac{4}{5}$, if 1 is added to both numerator and denominator. If, however, 5 is subtracted from both numerator and denominator, the fraction becomes $\frac{1}{2}$. Find the fraction

• A. 4/9
• B. 3/7
• C. 2/9
• D. 7/9

Answer 1

The correct option is D

7/9

Let the fraction be
So according to the given conditions,
$\frac{x+1}{y+1}=\frac{4}{5}$ and $\frac{x-5}{y-5}=\frac{1}{2}$
We get equations, 5x -4y + 1=0 and 2x -y -5 =0
By solving above equations we get fraction $\frac{7}{9}$.