SOLUTION: The sum of two numbers is 54. Their product is 100. What is the sum of the reciprocals of the two numbers?
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
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
My calculator said it, I believe it, that settles it
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