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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 ? Correct Answer 1/2

xy = 2(x + y) (x + y)/xy = 2 1/x + 1/y = 1/2

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