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Math Help - smallest number

  1. #1
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    smallest number

    Consecutive numbers are whole numbers that follow in order such as 3,4,5,.Find the smallest of the five consecutive numbers whose sum is 100.
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  2. #2
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    Quote Originally Posted by ronaldj View Post
    Consecutive numbers are whole numbers that follow in order such as 3,4,5,.Find the smallest of the five consecutive numbers whose sum is 100.
    x+(x+1)+(x+2)+(x+3)+(x+4) = 100

    solve for x
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  3. #3
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    Quote Originally Posted by ronaldj View Post
    Consecutive numbers are whole numbers that follow in order such as 3,4,5,.Find the smallest of the five consecutive numbers whose sum is 100.
    Let the first number be x, then the second will be (x+1), the third (x+2) ...

    Set the sum of the numbers equal to 100...
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  4. #4
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    Edit: I didn't realize this topic was a duplicate.

    Let x be the smallest of the five consecutive numbers whose sum is 100.

    The number after x is x + 1.

    The number after x + 1 is x + 1 + 1 = x + 2.

    The number after x + 2 is x + 2 + 1 = x + 3.

    The number after x + 3 is x + 3 + 1 = x + 4.

    These are our five consecutive numbers.

    We are told their sum is 100. Therefore, x + x + 1 + x + 2 + x + 3 + x + 4 = 100.

    Combine like terms.

    5x + 10 = 100

    Subtract 100 from both sides of the equation.

    5x = 90

    Divide by 5 on both sides of the equation.

    x = 18
    Last edited by mr fantastic; December 15th 2009 at 07:36 PM. Reason: No edit - just flagging reply as having been moved from a thread caused by a duplicate post.
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  5. #5
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    smallest number

    Sincere apologies to all about duplicate!..Did not see original posting on Math Help Forum..RJ
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