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25 April, 15:17

The sum of three consecutive odd numbers is 123 what is the smallest of the three numbers

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  1. 25 April, 15:26
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    39

    Step-by-step explanation:

    Let the three consecutive odd numbers be:

    x+2, x+4, x+6.

    The sum of the consecutive numbers is 123 i. e

    x+2 + (x+4) + (x+6) = 123

    x + 2 + x + 4 + x + 6 = 123

    3x + 12 = 123

    Collect like terms

    3x = 123 - 12

    3x = 111

    Divide both side by the coefficient of x i. e 3

    x = 111/3

    x = 37

    Now let us find the value of the three odd numbers. This is illustrated:

    1st : x + 2 = 37 + 2 = 39

    2nd : x + 4 = 37 + 4 = 41

    3rd : x + 6 = 37 + 6 = 43

    The smallest of the three consecutive odd numbers is 39
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