Question

The sum of two numbers is $20$ their product is $40$. The sum of their reciprocal is:

• A. $\frac{1}{2}$
• B. $2$
• C. $4$
• D. $\frac{1}{10}$

Answer 1

Answer: (A)

$\frac{1}{2}$

Given: $x+y=20$
$xy=40$
$\frac{x+y}{xy}=\frac{20}{40}$
$\frac{1}{y}+\frac{1}{x}=\frac{1}{2}$
So, sum of their reciprocal $\frac{1}{x}+\frac{1}{y}$ is $\frac{1}{2}$