Question

sum of two numbers is 20 and their product is 40 then find the sum of their reciprocal

Answer 1

1/2.
x+y=20
xy=40
1/x+1/y=(x+y)/xy
=20/40
=1/2 ans
it hope will help you

Answer 2

Answer:

$\text{The sum of reciprocals is }\frac{1}{2}$

Step-by-step explanation:

Given that sum of two numbers is 20 and their product is 40.

we have to find the sum of their reciprocals

Let the two numbers are x and y

As the sum of two numbers=x+y=20

The product of two numbers=xy=40

$\frac{1}{x}+\frac{1}{y}=\frac{y+x}{xy}=\frac{20}{40}=\frac{1}{2}$

$\text{Hence, the sum of reciprocals is }\frac{1}{2}$