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Math Help - Consecutive Integers

  1. #1
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    Consecutive Integers

    My teacher assigned me to do these problems that we have not even taken notes on or even discussed, I have done the first few and I know that I have done them correctly but the others I don't know how to write them out.

    - Find two consecutive odd intergers such that the sum of the smaller and 3 times the larger is 330.
    - Find three consecutive integers such that the sum of the largest and 5 times the smallest is -224.
    - Find three consecutive even intergers such that the sum of twice the smallest and 4 times the largest is 304.
    - Find three consqecutive odd intergers such that the sum of 7 times the smallest and twice the largest is -91.

    Here is one of the ones that I did correctly and how I did it.
    - Find three consecutive intergers whose sum is 51.

    n+(n+1)=75
    n+n+1=75
    2n+1=75-1
    2n=74/2
    n=37,38
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  2. #2
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    Re: Consecutive Integers

    Quote Originally Posted by iSponges View Post
    My teacher assigned me to do these problems that we have not even taken notes on or even discussed, I have done the first few and I know that I have done them correctly but the others I don't know how to write them out.

    - Find two consecutive odd intergers such that the sum of the smaller and 3 times the larger is 330.
    - Find three consecutive integers such that the sum of the largest and 5 times the smallest is -224.
    - Find three consecutive even intergers such that the sum of twice the smallest and 4 times the largest is 304.
    - Find three consqecutive odd intergers such that the sum of 7 times the smallest and twice the largest is -91.

    Here is one of the ones that I did correctly and how I did it.
    - Find three consecutive intergers whose sum is 51.

    n+(n+1)=75
    n+n+1=75
    2n+1=75-1
    2n=74/2
    n=37,38
    The one you have given us is...

    "Find 2 consecutive integers that sum to 75".

    n+(n+1)=75
    2n+1=75
    2n+1-1=75-1
    2n=74
    2n/2=74/2
    n=37, n+1=38

    For the 2 consecutive odd integers question....
    The smaller is n and the larger is n+2
    so 3 times the larger is 3(n+2)

    Then n+3(n+2)=330
    n+3n+6=330
    4n+6=330
    4n+6-6=330-6
    4n=324
    4n/4=324/4

    n=81, n+2=83
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  3. #3
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    Re: Consecutive Integers

    Okay, thanks! Homework is now finished
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  4. #4
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    Re: Consecutive Integers

    How about trying the other three examples ?
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  5. #5
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    Re: Consecutive Integers

    Quote Originally Posted by iSponges View Post
    Find two consecutive odd intergers such that the sum of the smaller and 3 times the larger is 330.
    2x-1 + 3(2x+1) = 330 ; just wanna see if you follow that...do you?
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