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14 August, 17:07

The sum of three consecutive odd numbers is 69. What is the smallest of the three numbers?

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  1. 14 August, 17:15
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    21

    Step-by-step explanation:

    Let the smallest of the numbers be N

    The other two numbers (consecutive) would be written as (n + 2), (n + 4)

    Expressing these as an equation gives : (n) + (n+2) + (n+4) = 69

    opening the bracket and collecting like terms, we have:

    n+n+n+2+4=69

    3n + 6 = 69

    3n = 69 - 6

    3n = 63

    Dividing both sides by 3 or making n the subject formular, we get:

    n = 63/3

    n = 21.

    Note, the other numbers are: 21, 23, and 25

    They are all odd numbers

    Their sum equals to 69
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