SOLUTION: The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number.
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Question 996099: The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The reciprocal of half a number increased by half the reciprocal of the number is 1/2.
Find the number.
:
let n = the number
then
.5n = half the number
:
+ .5() =
+ =
multiply equation by 2n
2n* + 2n* = 2n*
cancel the denominators and we have
4 + 2(.5) = n
5 = n
:
the number is 5
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