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

User Lucas Bento
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1 Answer

6 votes
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.
User Metric Scantlings
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