SOLUTION: The sum of the reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers
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Question 417928: The sum of the reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The sum of the reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers
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Let the numbers be "x" and "y"
Equations:
1/x + 1/y = 5/6
1/x - 1/y = 1/6
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Add to get:
2/x = 1
x = 2
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Solve for "y":
1/x + 1/y = 5/6
1/2 + 1/y = 5/6
1/y = 5/6 - 3/6
1/y = 2/6
y = 3
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Cheers
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