SOLUTION: The sum of the reciprocal of a number and the reciprocal of 3 less than the number is 6 times the reciprocal of the original number. Find the original number
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Question 736937: The sum of the reciprocal of a number and the reciprocal of 3 less than the number is 6 times the reciprocal of the original number. Find the original number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the reciprocal of a number and the reciprocal of 3 less than the number is 6 times the reciprocal of the original number.
Find the original number
:
let n = original number
:
+ =
multiply by n(n-3), resulting in
(n-3) + n = 6(n-3)
n - 3 + n = 6n - 18
2n - 6n = -18 + 3
-4n = -15
n = -15/-4
n = +3.75 is the original number
:
:
Expected an integer here, see if this checks out:
+ =
.267 + 1.333 = 1.6, it does!
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