SOLUTION: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number? can it be 6

Algebra ->  Linear-equations -> SOLUTION: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number? can it be 6      Log On


   

Question 73898: If the reciprocal of 4 times a number is subtracted from the reciprocal of that number, the result is 1/12. What is the number?
can it be 6
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number you want to find.
1%2Fn+-+1%2F4n+=+1%2F12 Simplify the left side.
%284-1%29%2F4n+=+1%2F12 Multiply both sides by 4n.
3+=+4n%2F12 Multiply both sides by 12.
36+=+4n Finally, divide both sides by 4.
9+=+n
The number is 9.