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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?

Sagot :

Let the number be x.

Half of that number = x / 2

One Third of the number = x / 3

Add the two together x / 2 = x / 3 = 22. Least Common Multiple (LCM) = 6.

= (3x + 2x) / 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.
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