The sum of two consecutive integers is 26. What are the integers? Question does not specify even or odd consecutive integers. Please HELP!

x is some integer

x+1 is the next consecutive integer

Consecutive integers are numbers like {5,6,7} or {11,12,13}. They are numbers that follow one after another.

We sum x and x+1 getting 26, which means,

x+(x+1) = 26

2x+1 = 26

2x = 26-1

2x = 25

x = 25/2

x = 12.5

But we run into a problem here. We made x an integer, but 12.5 is not an integer. So there are no integer solutions to the first equation

So there are no consecutive integers that add to 26.

If your teacher said "consecutive even integers", then the equation would be

x+(x+2) = 26

2x+2 = 26

2x = 26-2

2x = 24

x = 24/2

x = 12

And we can see that x = 12 and x+2 = 12+2 = 14 add to 12+14 = 26

But again this only applies if your teacher wrote "consecutive even integers". With that "even" left out, there are no solutions.

the solution is 12x-6y

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation: