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31 July, 11:48

The sum of five consecutive integers is 130

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Answers (2)
  1. 31 July, 12:06
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    We need to set the 1st number as x. Since the integers are consecutive we just add 1 more for each integer, so the 2nd number is x + 1, then x + 2, x + 3, and x + 4. When we add them all together we get 130 so ...

    x + (x+1) + (x+2) + (x+3) + (x+4) = 130

    Since it is only addition we don't have to keep the parentheses because of the associative property.

    x+x+1+x+2+x+3+x+4=130

    5x + 10 = 130

    5x = 120

    x = 24

    So the first number is 24.

    2nd number is x+1 or 25. 3rd number is x+2 or 26 and so on ...

    Your consecutive numbers are 24, 25, 26, 27, and 28.

    We can check by adding them up and see if they equal 130.

    24+25+26+27+28 = 130

    It checks!
  2. 31 July, 12:58
    0
    The integers are 24, 25, 26, 27, and 28.
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