Question

If $\frac{x+y}{xy}=2$ and $\frac{x-y}{xy}=6$ then $y=$______

• A. $\frac{1}{2}$
• B. $\frac{1}{4}$
• C. $\frac{1}{6}$
• D. $\frac{1}{8}$

Answer 1

The correct option is B $\frac{1}{4}$

Given,

$\frac{x+y}{xy}=2$ and $\frac{x-y}{xy}=6$

or, $\frac{1}{y}+\frac{1}{x}=2$......(1) and $\frac{1}{y}-\frac{1}{x}=6$.......(2).

Now adding (1) and (2) we get,

$\frac{2}{y}=8$

or, $y=\frac{1}{4}$.