SOLUTION: the sum of one-half a number, one-third of the number, and one-twelfth of the number is 55. what is the original number?

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Question 625668: the sum of one-half a number, one-third of the number, and one-twelfth of the number is 55. what is the original number?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of one-half a number, one-third of the number, and one-twelfth of the number is 55. what is the original number?
Let x = the number
then
(1/2)x + (1/3)x + (1/12)x = 55
multiplying both sides by 12:
(6)x + (4)x + (1)x = 660
11X = 660
x = 660/11
x = 60