SOLUTION: Please help me with this story problem: the reciprocal of a number equals the reciprocal of the difference of 4 and a number. Find the number thank you!

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Question 199830: Please help me with this story problem: the reciprocal of a number equals the reciprocal of the difference of 4 and a number. Find the number
thank you!
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Write the words as an equation (let x be the number):
1%2Fx=1%2F%284-x%29
.
Solve for x:
4-x=x
4=2x
highlight%28x=2%29
.
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Good Luck,
tutor_paul@yahoo.com