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16 July, 17:44

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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  1. 16 July, 17:50
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    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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