SOLUTION: A positive integer is twice another. The difference of the reciprocals of the two positive integers is frac(1,24). Find the two integers

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Question 1067714: A positive integer is twice another. The difference of the reciprocals of the two positive integers is frac(1,24). Find the two integers


Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A positive integer is twice another.
a = 2b
:
The difference of the reciprocals of the two positive integers is frac(1,24).
1%2Fb - 1%2Fa = 1%2F24
replace a with 2b
1%2Fb - 1%2F%282b%29 = 1%2F24
multiply thru by 24b, results:
24 - 12 = b
12 = b
therefore
a = 2(12)
a = 24
:
:
Check
1%2F12 - 1%2F24 = 1%2F24
2%2F24 - 1%2F24 = 1%2F24



Find the two integers 24 & 12