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.
+36916 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...
