SOLUTION: Find two positive numbers that differ by 3 and whose reciprocals have a sum of 8/9. Thanks in advance!

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Question 453892: Find two positive numbers that differ by 3 and whose reciprocals have a sum of 8/9.




Thanks in advance!
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=3
1/x+1/y=8/9
x=9/2=4.5 y=3/2=1.5
check
2/9+2/3=8/9
2/9+6/9=8/9
ok