SOLUTION: A number,1/2 of that number and 1/3 of that number are added. The result is 22. What is the original number?

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Question 529114: A number,1/2 of that number and 1/3 of that number are added. The result is 22. What is the original number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2n + 1%2F3n = 22
multiply by 6 to get rid of the denominators, results
3n + 2n = 6(22)
5n = 132
n = 132%2F5
n = 26.4
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Let's see if that number works out
1%2F2(26.4) + 1%2F3(26.4) = 22
13.2 + 8.8 = 22, is does but I was expecting an integer, how about you?