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25 October, 04:28

One less than half a number is 12. What is the number

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  1. 25 October, 06:26
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    To find this, turn the word question into an equation.

    "One less than" means - 1, which is 1 being subtracted from something.

    "half a number" means 1/2x, since 1/2 is half and x is unknown.

    "is 12" means = 12, which is something equals 12.

    Putting this in order would be 1/2x, then - 1, then = 12.

    As an equation, this is 1/2x - 1 = 12.

    So the equation is 1/2x - 1 = 12

    Now you must find the number by solving this equation.

    1/2x - 1 = 12

    First, add 1 to both sides.

    12 + 1 = 13

    1/2x = 13

    Now multiply both sides by 2.

    This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.

    13 • 2 = 26

    x = 26

    The number is 26.
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