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The house #s on the same side of elm street are consecutive odd integers. If the Jones, Lopez,  and wu familes live 3 consecutive houses and the sum of the smallest and the largest is 24 more than the number in the middle. Find the apartment numbers.

 Jan 17, 2020
 #1
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Make the MIDDLE number  '2x+1  '

    this will make ODD numbers for all of x values

  the smaller number next to it would be    2x+1    -2 

     the larger number next to it would be  2x+1  +2      these two numbers sum to 24   +     2x+1

        2x+1   -2     + 2x+1   +2   = 24  + 2x+1

        4x +2= 25   + 2x+1

         2x =23

          x = 11.5

So the Middle one is    2 x +1   = 2 (11.5) +1 = 24     ...

 

Whoa....this is not possible      the smallest   and the largest are two odd numbers that sum to an EVEN number

                                                          adding 24 to the MIDDLE ODD number will result in an odd number !    Not even...

 Jan 17, 2020
edited by ElectricPavlov  Jan 17, 2020
edited by ElectricPavlov  Jan 17, 2020
edited by ElectricPavlov  Jan 17, 2020

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