SOLUTION: The difference of one-third of a number and one-fourth of a number is four less than one-sixth of the number. Find the Number. Please include your work.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The difference of one-third of a number and one-fourth of a number is four less than one-sixth of the number. Find the Number. Please include your work.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1068146: The difference of one-third of a number and one-fourth of a number is four less than one-sixth of the number. Find the Number. Please include your work.
Answer by ikleyn(52813) About Me  (Show Source):
You can put this solution on YOUR website!
.
The condition says

x%2F3+-+x%2F4 = x%2F6-4

where x is your unknown number. To solve the equation, multiply both sides by 12. You will get

4x - 3x = 2x -48,

x = 2x - 48,

x - 2x = -48,

-x = - 48,

x = 48.

Solved.