Question

If x and y are positive with $x-y=2$ and $xy=24$, then $\frac{1}{x}+\frac{1}{y}$ is equal to

• A. $\frac{5}{12}$
• B. $\frac{1}{12}$
• C. $\frac{1}{6}$
• D. $\frac{25}{6}$

Answer 1

The correct option is A $\frac{5}{12}$

$x-y=2;xy=24\Rightarrow x=6,y=4$ etc.