algebra 1

The sum of three consecutive integers is -204 . What is the largest integer?

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  1. 1st number ---> x
    2nd number -- > x+1
    3rd number --> x+2

    x+x+1+x+2 = -204
    3x = -207
    x = -69

    largest is -67

    or
    let the 3 numbers be (x-1) , x , (x+1)
    x-1 + x + x+1 = -204
    3x = -204
    x = -68
    largest number is -68+1 = -67

    notice that in my second solution, the equation was somewhat easier to solve, but x represented the middle number.

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