Can You Find the Integers?

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

  1. nycmathguy

    nycmathguy

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    There are 3 consecutive integers. The sum of the first two is 35 more than the third. Find the integers.

    Let me see.

    Three consecutive integers:

    x, x + 1, x + 2

    Set Up:

    x + x + 1 = 35 + x + 2

    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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    There are many more algebraic word problems coming our way. Precalculus takes place on my days off or when time allows.
     
    nycmathguy, Jan 26, 2022
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  4. nycmathguy

    Country Boy

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    You can't stop without completing it!

    x + x + 1 = 35 + x + 2
    Subtract x from both sides:
    x+ 1= 35+ 2= 37
    Subtract 1 from both sides:
    X= 36.

    The three consecutive integers are 36, 37, and 38.

    Check: The sum of the first two is 36+ 37= 73. 35 more than the third is 35+ 38= 73.

    Yes, "The sum of the first two is 35 more than the third."
     
    Country Boy, Jan 26, 2022
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  5. nycmathguy

    nycmathguy

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    If I stop without completing the problem, are you going to send me to Pilate? I am interested in the SET UP. GET IT? This is what MarkFL and Soroban drilled into my head in 2006. Set up or should I get the cross?
     
    nycmathguy, Jan 26, 2022
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