SOLUTION: a number, one fourth of that number, and one third of that number are added. the result is 19. what is the.original number

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Question 962596: a number, one fourth of that number, and one third of that number are added. the result is 19. what is the.original number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a number, one fourth of that number, and one third of that number are added. the result is 19.
n + 1%2F4n + 1%2F3n = 19
multiply equation by 12, then cancel the denominators
12n + 3n + 4n = 12(19)
19n = 12(19)
divide both sides by 19
n = 12