SOLUTION: One-third of a number is twelve less than one-half of the number. Find the number. None of these 72 12 72/5 -12

Question 1036567: One-third of a number is twelve less than one-half of the number. Find the number.

None of these

72

12

72/5

-12

Found 2 solutions by Boreal, Edwin McCravy:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The number is x
(x/3)+12=(x/2); twelve less means is we add 12 to it, they are equal.
multiply everything by a common denominator of 6.
2x+72=3x
x=72
(1/3) of 72 is 24
that is 12 fewer than 36 which is half 72.
Second choice.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

One-third of a number is twelve less than one-half of the number. Multiply through by LCD = 6 2N = 3N - 72 -N = -72 N = 72 Checking the words: One-third of 72 is twelve less than one-half of 72. One-third of 72 is 24 One-half of 72 is 36 24 is 12 less than 36. So it checks. Edwin

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