Question

Which of the following could represent consecutive even integers, given x =1?

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

Answer 1

2x, 2x + 2

Explanation:

Each expression is divisible by 2, so it is even.

Answer 2

2x, 2x + 2

Explanation:

2x is even

2x + 2 = 2(x+1)

x and x+1 are consecutive integers

So multiplying both by 2 makes them consecutive even integers

For example with x = 1

2x = 2, 2(x+1) = 2 . 2 = 4 which is next even consecutive integer