The sum of two numbers is 10, and their product is 20. What is the sum of their reciprocals?

The sum of two numbers is 10, and their product is 20. What is the sum of their reciprocals?

Explanation

We are given:

x+y=10

xy=20

The sum of the reciprocals of the two numbers is1/x+1/=x+y/xy

Substitute the given values:

=10/20

=1/2