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The sum of two numbers is 10, their product is 20. The sum of their reciprocals is _________

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Two numbers have a sum of 10 and a product of 20. What is the sum of the reciprocals of the two numbers? Let 2 numbers be a and b. The two numbers are 5+sqroot(5) and 5-sqroot(5) solving the reciprocals of the two numbers the answer is 1/2.

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