SOLUTION: A number,half of that number,and one third of that number are added.the result is 222. What is the number?

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Question 994106: A number,half of that number,and one third of that number are added.the result is 222. What is the number?
Answer by ikleyn(52794) About Me  (Show Source):
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A number, half of that number, and one third of that number are added. The result is 222. What is the number?
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x + 1%2F2%2Ax + 1%2F3%2Ax = 222.

Common denominator is 6. Multiply both sides by 6.

6x + 3x + 2x = 222*6,

11x = 222*6,

x = %28222%2A6%29%2F11.

Calculate.