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3 September, 10:41

The smallest of three consecutive integers is 24 less than the sum of the two larger integers. Find the three integers.

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  1. 3 September, 11:06
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    21, 22, 23

    Step-by-step explanation:

    Construct equations representing each piece of information.

    Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.

    Let's let

    Integer 1 = X

    Integer 2 = Y

    Integer 3 = Z

    X = (Y + Z) - 24

    We also know that

    Y = X + 1

    and Z = X + 2

    We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.

    X = (X+1) + (X+2) - 24

    now solve for x,

    X = 2X + 3 - 24

    X = 2X - 21

    -X = - 21

    X = 21

    So, the integers are 21, 22, 23
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