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
Algebra ->
Equations
-> 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
Log On
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!
