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asking that question is like asking how we know what 2 plus 2 there is no answer

Yes, there is an answer.

To add even numbers is to add sets of two. When you add sets of two, you will always come up with another set of two. Addition of even numbers does not divide the set in two in half, which would result in an odd answer.
In Algebra, ax + bx = (b+c)x. If x is two, then we have the addition of even numbers. The result, we see, is divisible by x-two-and thus be an even number.

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Q: Why is the sum always a even number when you add even numbers?
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Related questions

What even numbers add of to 9?

No even numbers add up to 9. The sum of even numbers is always an even number.


What do you get when you add an even number and an even number?

The sum of two even numbers will always be another even number.


What happens when you add an odd number and an odd number?

Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.


What do the first four even numbers add up to?

They will always add up to another even number.


Are even numbers under addition numbers?

Yes, when you add any two even numbers, the result is always an even number.


What number is the end of the numbers?

numbers are infinite! If you can find a number, you can always add 1 to it and carry on. The numbers we don't even have a name!!


Are even numbers closed under addition?

Yes, when you add any two even numbers, the result is always an even number.


Can you add an even and an odd number where the sum of the numbers will be even?

No. No matter what you use, the sum of an odd number and an even number will always be odd.


Does two prime numbers always add up to an even number?

No, they do not. If one of the prime numbers is 2, you will have an odd number.


What is true about two odd numbers?

When you add them, you always get an even number; when you multiply them, the result is always odd.


Why do two odd numbers become an even number after addition?

because it can, if you add odd numbers the always don't have to be an odd number


Why is the sum of an odd or even number odd or even?

The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.