SOLUTION: Two positive number differ by 3. The reciprocals of the numbers add up to 7. Find the two numbers.

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Question 739550: Two positive number differ by 3. The reciprocals of the numbers add up to 7. Find the two numbers.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=3,
1/x+1/y=7,
x>0,
y>0
x = 1/14 (23+sqrt(445)), y = 1/14 (sqrt(445)-19)
x~~3.14964, y~~0.149645
I suspect you copied something in correctly