Question

Which of the following could represent consecutive even integers?

x + 1, x + 2
x + 1, x + 3
2x, 2x + 1

Answer 1

x+1, x+3 could represent consecutive even integers

Answer 2

Only the second one x+1, x+3 as long as x is an odd integer

The first one (x+1, x+2) wouldn't be consecutive even integers. If x is odd (e.g. 1), then 1+1=2 would be even but, 1+2=3 would be odd.

The third one (2x, 2x+1) wouldn't be the answer. 2x will certainly be even but 2x+1 is going to be odd.