Question

Find value of x in the given pair of equations.

$\frac{1}{x}+a=3$

$\frac{1}{x}-a=1$

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

Answer 1

The correct option is B

$\frac{1}{2}$

The two equations are

$\frac{1}{x}+a=3$
$\frac{1}{x}-a=1$

Now if we add both the equations, we get

$\frac{1}{x}-a+\frac{1}{x}+a=1+3$

$\Rightarrow \frac{2}{x}=4$

$\Rightarrow x=\frac{1}{2}$