Algebra

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Cant figure out what to do (equations)

1)Find three consecutive even integers with a sum of -30

2)Find four consecutive integers with a sum of 26

  • Algebra -

    n-2, n, n+2
    n-2 + n + n+2 = -30
    3 n = -30
    n=-10
    so
    -12 , -10, -8
    =======================
    n + n+1 + n+2 + n+3 = 26 etc

  • Algebra -

    I get it but why do we do n-2?

  • Algebra -

    The second one equals to 32

  • Algebra -

    I did n-2 to get n in the middle so I would get a simple 3n on the left. I could just as well have used:
    n + n+2 + n+4
    or
    n-4 + n-2 + n

  • Algebra -

    Also notice that the fact that it is odd or even is not used. Luckily it comes out with n even.

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