a number, half of that number, and one-third of that number are added. the result is 22. what is the number?

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06-03-2015
Mathematics

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a number, half of that number, and one-third of that number are added. the result is 22. what is the number?

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olemakpadu olemakpadu · Answer 1 · 2015-03-06T07:56:58-05:00

olemakpadu olemakpadu

06-03-2015

Let the number be x.

Half of that number = x / 2
One third of the number = x / 3

= x / 2 + x / 3 = 22. LCM = 6.

= (3x + 2 x) / 6 = 22.

5x / 6 = 22. Cross multiply

5x = 6 * 22.

5x = 132 Divide both sides by 5.

x = 132 / 5

x = 26.4

The number is 26.4. Cheers.

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