Question

the sum of two consecutive even integers is 26. what are the integers

Answer 1

26 = x + (x+2)

From that, it simplifies to:

26 = 2x + 2

Subtract 2 from each side:

24 = 2x

Divide by 2:

x = 12

The original two terms were x and x+2, so we get:

12, 12+2
12, 14

Answer 2

I got the original equation from the logic that we are looking at two numbers, one of which is two more than the other - so x and x+2.