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The ratio of the sum of the reciprocals of x and y to the product of the reciprocals of x and y is 1:3. What is sum of the numbers x and y?

The ratio of the sum of the reciprocals of x and y to the product of the reciprocals of x and y is 1:3. What is sum of the numbers x and y? Correct Answer 1/3

1x + 1y:1x×1y = 1:3 ⇒ 1x + 1y1xy = 13 ⇒ x + yxy×xy = 13 ⸫ x + y = 13

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