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Problem of the Week #2
        Solution
          By: Alaina Johansson
   For the week of 2/13/12 to 2/17/12
The sum of 9 consecutive whole numbers is
   123,456,789,987,654,321. What is the difference
     between the largest and the smallest of these
                       numbers?
First assign each of the 9 numbers a value.
   -Let the first number in the sequence be x.
   -The next consecutive number will be x+1, the third will be x+2, the
   forth x+3, fifth x+4 and so on until the ninth number which is x+8.

            The smallest of the consecutive whole numbers
                      is x and the largest is x+8.
              To find the difference subtract (x+8)-x.
                      x+8-x (combine like terms)


   The difference between the largest and smallest number is 8.

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Alaina's POTW solution

  • 1. Problem of the Week #2 Solution By: Alaina Johansson For the week of 2/13/12 to 2/17/12
  • 2. The sum of 9 consecutive whole numbers is 123,456,789,987,654,321. What is the difference between the largest and the smallest of these numbers? First assign each of the 9 numbers a value. -Let the first number in the sequence be x. -The next consecutive number will be x+1, the third will be x+2, the forth x+3, fifth x+4 and so on until the ninth number which is x+8. The smallest of the consecutive whole numbers is x and the largest is x+8. To find the difference subtract (x+8)-x. x+8-x (combine like terms) The difference between the largest and smallest number is 8.