Make and test a conjecture about the sum of two even numbers

The correct answer is: 2+2=4, 2(3)+2(5)=16

Let us assume any two integers. We can write them as

2x and 2y.
The sum of these two even numbers is 2x + 2y .
Now, Take 2 common .we get,

2x+2y=2(x + y)
Inside the parenthesis, we have a sum of two integers.
Since the sum of two integers is just another integer then we can let an integer n be equal to (x + y).
Substituting (x + y) by n in 2(x + y), we obtain 2n which is clearly an even number.
Thus, the sum of two even numbers is even.
For example, 2 + 2 = 4, 2(3) + 2(5) = 16, etc.