SOLUTION: The sum of one-half, one-third and one-fourth of a number exceeds the number by 12. The number is

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Question 397208: The sum of one-half, one-third and one-fourth of a number exceeds the number by 12. The number is
Found 2 solutions by ewatrrr, mananth:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x represent the number

Write as we Read***

 x/2 + x/3 + x/4 = x + 12  

solving for x         

 6x +4x + 3x = 12x + 144      |multiplying each term by 12

           x = 144



CHECKING our Answer

 72 + 48 + 36 = 156 = 144 + 12

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of one-half, one-third and one-fourth of a number exceeds the number by 12. The number is
let the number be x
x/2 +x/3+x/4 = x+12
...
LCD = 12
(6x+4x+3x)/12=x+12
13x= 12(x+12)
13x=12x+144
13x-12x=144
x= 144
..