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9 September, 21:18

Find three consecutive odd numbers whose sum is 1701.

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  1. 9 September, 21:38
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    565, 567, 569

    Step-by-step explanation:

    let 'n' be an odd integer, then (n + 2) is the next odd interger, and (n + 4) is the third consecutive integer.

    Ex: If 3 is our first, then 5, followed by 7

    3 + 2 = 5,

    3 + 4 = 7

    So we have

    n + (n + 2) + (n + 4) = 1,701

    Now simplify and solve for n

    n + n + 2 + n + 4 = 1,701 (we can drop the parenthesis)

    3n + 6 = 1,701 (combine like terms)

    3n = 1,695 (subtract 6 from both sides to isolate the n term)

    n = 565 (divide both sides by 3 to isolate n)

    n = 565

    n + 2 = 567

    n + 4 = 569
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