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.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(52814)   (Show Source): You can put this solution on YOUR website!
.
The condition says

 = 

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.


RELATED QUESTIONS

One-fourth of a number is 3 greater than one-sixth of it. Find the... (answered by ptaylor)
if one sixth of a number is one and one third. find the... (answered by stanbon)
one fourth of a number is 3 times greater than one sixth of it find the... (answered by solver91311)
the sum of one-third of a number, one- fourth of the number, and one-eighth of a number... (answered by solver91311)
one tenth of a number is two less than one sixth of its predeccesor.Find the number. (answered by jorel555)
Two less than one-sixth of a certain number is 1 more than one-fourth that number. What... (answered by checkley71)
Two less than one-sixth of a certain number is 1 more than one-fourth that number. What... (answered by fractalier)
two less than one third of a number equals 3 more than fourth of the number. find the... (answered by ankor@dixie-net.com)
One-third of a number is 2 more than one-sixth of the same number. What is the... (answered by checkley77)