The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y?

The product of two numbers x and y is twice the sum of the numbers. What is the sum of the reciprocals of x and y?

A 2/3

B 3/4

C 3/7

D 1/2

Solution

Correct Answer: Option D

xy=2(x+y)

(x+y)/xy=2

1/x+1/y=1/2