Question

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

Hint:

### Take general form and check.

## The correct answer is: we get that the sum of two even numbers is always even

### Complete step by step solution:

The sum of two even numbers is always an even number.

Let 2x and 2y be two even integers.

On adding these, we get 2x + 2y

On taking the common factor 2 outside, we get 2(x + y)

Let (x + y) be some integer n

⇒ 2(x + y) = 2n, which is also an even integer.

So we get that the sum of two even numbers is always even.

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