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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