SOLUTION: A number, half of that number, and one third of that number are added. the result is 22. What is the original number?

Question 775422: A number, half of that number, and one third of that number are added. the result is 22. What is the original number?

Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
let the number be x, then
x+x/2+x/3=22 solve for x, common denominator would be 6, so
now that all the x terms have common denominator we can combine them...add the tops, leave the bottom

now multiply each side by the reverse of what's in front of x, so by 6/11, this will give you x by itself
you can reduce top and bottom by 11 (ie 22/11=2 and 11/11=1)

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