SOLUTION: One third of a certain number exceeds 12 by as much as 100 exceeds the number. What is the number? thanks

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Question 188084: One third of a certain number exceeds 12 by as much as 100 exceeds the number. What is the number?

thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One third of a certain number exceeds 12 by as much as 100 exceeds the number. What is the number?
:
Let x = " a certain number"
1%2F3x = 12 + (100-x)
;
1%2F3x = 112 - x
Multiply equation by 3
x = 336 - 3x
:
x + 3x = 336
:
4x = 336
x = 336%2F4
x = 84
:
:
Is that true?
1%2F3*84 = 12 + 100 - 84
28 = 28