SOLUTION: When two-thirds of a number is added to one-fourth of the same number, the result is 8 more than the original number. Find the number.

Question 173407: When two-thirds of a number is added to one-fourth of the same number, the result is 8 more than the original number. Find the number.
Answer by KnightOwlTutor(293) (Show Source): You can put this solution on YOUR website!
The unknown number is x
The equation to solve is
2/3x+1/4x=x+8
The lcd is 12
Therefore multiply each term by 12
8x+3x=12x+96
simplfy terms

11x=12x+96

Subtract 12x from both sides
-x=96
divide both sides by -1
x=-96

Let's doublecheck our answer
(2(-96)/3} +(-96/4)=-96+8
-64-24=-88
RELATED QUESTIONS
when two-thirds of a number is added to one-fourth of the same number, the result is 8... (answered by Mathtut)

Two-thirds of a number is the same as 15 more than one-fourth of the number. whats the... (answered by JulietG)

find the number such that when 14 is added to two thirds of it, the result is one and a... (answered by stanbon)

If 5 is subtracted from two thirds of a number, the result is 5 more than one-fourth of... (answered by mathstutor494)

If two thirds of a certain number is added to one number half of the number, the result... (answered by Alan3354)

nine more than two-thirds of a number is one more than the same... (answered by ewatrrr)

When a number is added to two thirds of itself the result is 45 .find the... (answered by mananth)

The sum of the digits of a two-digit number is 7. When 14 is added to the original... (answered by lwsshak3)

1.when 5 is subtracted from two-thirds of a number. The result is the same when 25 is... (answered by richwmiller)