The sum of two numbers is 10 and their product is 20

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

  1. 1
  2. 1/2
  3. 2
  4. 1/10

Answer

a + b =10

ab = 20

1/a + 1/b = (b+a)/ab

= 10/20 = 1/2

The correct option is B.