Four Consecutive Even Integers

Discussion in 'Algebra' started by nycmathguy, Jan 26, 2022.

  1. nycmathguy

    nycmathguy

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    The sum of 4 consecutive even integers is 44. Find the integers.

    Let me see.

    Consecutive even integers:

    x, x + 2, x + 4, x + 6.

    Set Up:

    x + x + 2 + x + 4 + x + 6 = 44

    Yes?
     
    nycmathguy, Jan 26, 2022
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  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Jan 26, 2022
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    nycmathguy likes this.

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  3. nycmathguy

    nycmathguy

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    This is what I care about. The SET UP means understanding.
     
    nycmathguy, Jan 26, 2022
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  4. nycmathguy

    Country Boy

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    A REAL mathematician couldn't stop without solving the problem!

    x + x + 2 + x + 4 + x + 6 = 4x+ 12= 44
    Subtract 12 from both sides:
    4x= 32
    Divide both sides by 4:
    x= 8.

    The four consecutive integers are 8, 10, 12, and 14.

    Check: The sum of the four integers is 8+ 10+ 12+ 14= 18+ 26= 44.
     
    Country Boy, Jan 26, 2022
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  5. nycmathguy

    nycmathguy

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    When did I ever make such a stupid claim? Me a mathematician? Ha! You are funny.
     
    nycmathguy, Jan 26, 2022
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