SOLUTION: The difference of the reciprocals of tho positive numbers is 2. If the product of the numbers is 1/35, what are the numbers?

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Question 483604: The difference of the reciprocals of tho positive numbers is 2. If the product of the numbers is 1/35, what are the numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of the reciprocals of tho positive numbers is 2.
If the product of the numbers is 1/35, what are the numbers?
:
Two positive numbers, x & y
:
"The difference of the reciprocals of tho positive numbers is 2."
1%2Fx+-+1%2Fy = 2
Multiply by xy, results:
y - x = 2xy
:
"If the product of the numbers is 1/35,"
x*y = 1%2F35
The only factors of 35, are 5 and 7, therefore
1%2F5+%2A+1%2F7 = 1%2F35
:
Check in the other equation
Replace xy with 1%2F35 in the equation, y - x = 2xy
y - x = 2%2F35
1%2F5+-+1%2F7 = 2%2F35
which is
7%2F35+-+5%2F35 = 2%2F35
therefore
x = 1%2F5
y = 1%2F7