SOLUTION: A number is added to one-half of its reciprocal and the sum is again added to one-third of the original number's reciprocal. If the sum is equal to number added to 4, find the nu

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Question 669972: A number is added to one-half of its reciprocal and the sum is again added to
one-third of the original number's reciprocal. If the sum is equal to number added to 4, find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A number is added to one-half of its reciprocal and the sum is again added to
one-third of the original number's reciprocal.
If the sum is equal to number added to 4, find the number.
:
n + 1%2F%282n%29 + 1%2F%283n%29 = n + 4
Subtract n from both side
1%2F%282n%29 + 1%2F%283n%29 = 4
multiply by 6n
3 + 2 = 6n(4)
5 = 24n
n = 5%2F24 is the number
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