SOLUTION: The reciprocal of two more than a number is three times the reciprocal of the number .... find the number

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Question 1065239: The reciprocal of two more than a number is three times the reciprocal of the number .... find the number
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
number is x
reciprocal of 2 more than it is 1/(x+2)
That is 3 times the reciprocal of x or 3(1/x)
Set (3/x)=to 1/(x+2)
cross-multiply
x=3x+6
-2x=6
x=-3
reciprocal is (-1/3)
The reciprocal of 2 more than x is -1
That is 3 times the reciprocal of (-1/3) checks

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