SOLUTION: The reciprocal of 5 less than a # is 4 times the reciprocal of twice the #. find the #. Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The reciprocal of 5 less than a # is 4 times the reciprocal of twice the #. find the #. Thank you.      Log On


   

Question 40861: The reciprocal of 5 less than a # is 4 times the reciprocal of twice the #. find the #.
Thank you.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Converting to algebra and calling the number x, we have
1 / (x - 5) = 4 / 2x
now cross-multiply and get
2x = 4(x - 5)
2x = 4x - 20
-2x = -20
x = 10