SOLUTION: Sir in this question that is The difference of two natural numbers is 4 and the difference of their reciprocals is 1/8. Find numbers. Sir in this my book has written x+4.Why?

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Question 1072809: Sir in this question that is
The difference of two natural numbers is 4 and the difference of their reciprocals is 1/8.
Find numbers.
Sir in this my book has written x+4.Why?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Don't know why.
Call the two numbers x and y.
1.x-y=4
and
1%2Fx-1%2Fy=1%2F8
Multiply both sides by 8xy
8y-8x=xy
2.8%28y-x%29=xy
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There is no real solution.
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Check your problem setup.
There is a solution if one of the differences is negative (-4 or -1%2F8) but not as it's currently configured.