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2 September, 06:57

The sum of four consecutive odd integers is 216. find the four integer.

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  1. 2 September, 08:41
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    The four consecutive odd integers are x, x+2, x+4, x+6

    x+x+2+x+4+x+6=216

    4x+12=216

    4x=204

    x=51

    they are 51, 53, 55, 57
  2. 2 September, 09:00
    0
    So what you want to say is 216/4, to find 1/4 of 216. 216 / 4 = 54

    So you know that therefore, since 1/4 + 1/4 + 1/4 + 1/4 = 1, 54 + 54 + 54 + 54 must equal 216.

    So basically what you can say is,

    x - 3 + x - 1 + x + 1 + x + 3 = 216

    This would make them consecutive odd integers, but since the addition and subtractions cancel out, it would still make it equivalent.

    Or basically:

    (54 - 3) + (54 - 1) + (54 + 1) + (54 + 3) = 216

    51 + 53 + 55 + 57

    Those four integers would add up to 216, and would therefore be the four consecutive odd integers.
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