SOLUTION: The sum of two numbers is 54. Their product is 100. What is the sum of the reciprocals of the two numbers?

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Question 518134: The sum of two numbers is 54. Their product is 100. What is the sum of the reciprocals of the two numbers?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent one of the numbers and let represent the other.

Then the sum of the reciprocals is:



Apply the common denominator:



But the sum is 54 and the product is 100 so:



John

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