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Any odd number can be written as an even number plus one.

Any even number plus any other even number makes an even number.

Add one makes an odd number.

So an odd number plus an even number is always an odd number.

Algebraically, any odd number can be written as 2a+ 1 where a is a whole number.

Any even number can be written as 2b, where b is a whole number.

Add them together, the sum is 2(a + b) + 1, which is odd.

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Q: When odd number plus an even number is equal even numbers?
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Related questions

Why is a even number plus an even number equal to an even number?

You can simply take the lowest even numbers and subtract it i.e. 4-2=2


Can you add 2 odd numbers that equal an odd number?

no, b/c you can think of an odd number as an even number plus one. So if you add two odd numbers, you would be adding 2 even numbers plus 2... Let # be even... (#+1) + (#+1) = (#+#) + 2 two even numbers added together are always even


What does odd plus even equal?

An odd number plus an even number will always be an odd number.


What is an even number plus an even number equal to?

An even number.


What are the rules of an even number?

All even numbers can be divided by two, while odd numbers can't. Also, an even number plus an even number is always even. An odd number plus an odd number is always even. An even number plus an odd number is always odd.


Is the sum of two odd numbers even?

Yes, always; this is because an odd number is 2E + 1 (E being any even number), and two odd numbers equal 2E1 + 2E2 + 2 x 1 = a lot of even numbers plus two, which is another even number.


Why does an even number plus an odd number always equal an odd number?

For any even number n, the following integer is odd (n+1), so for any odd number other than 1, you are adding the preceding even number, plus 1. Because all even numbers are multiples of 2, their sum is even, and 1 more will be an odd number.---Think of the odd number as an even number plus one and remember that all even numbers are multiples of two.Therefore:- Any two even numbers added together will always be a multiple of two and therefore even. Any two odd numbers added together will be the same as adding two even numbers plus 1 plus 1. (A multiple of two plus two which is still a multiple of two).An odd number added to an even number will be the same as two even numbers plus 1 in other words a multiple of two (even) plus one making the result odd.Extrapolating further it's easy to see that by the above reasoning that for all positive integers...Any number of even numbers added together will always be even.An odd number of odd numbers added together will always be odd.Any even number of odd numbers added together will always be even,Adding any number of even numbers to any number of odd numbers will make no difference to the outcome, the odd or even outcome will still be determined by the number of odd numbers being added together.---Another approach:Let n, r be real numbers even number representation: 2nodd number representation: 2n + 1sum = 2n + 2n + 1 = 4n + 1 = 2(2n) + 1let 2n = rsum representation becomes: 2r + 1, which is a representation of an odd number.


When does the sum odd number plus even number equal even number?

In normal arithmetic, never.


What does odd plus odd always equal?

An even number


Does a odd number plus a odd number always equal a even number?

Yes.


What does a house plus numbers equal?

A house number. A house number. A house number. A house number.


How can you determine weather a sum of severals numbers such as 13 plus 45 plus 24 plus 17 is even or odd?

Count how many of the numbers are odd. If an odd number of them are odd, then their sum is odd. If an even number of them are odd, then their sum is even.