answersLogoWhite

0


Best Answer

An odd number can be written in the form '2n+1' where 'n' is an integer, and an even number can be written int the form '2n'. We can then write the sum of 2 odd numbers as: (2n+1) + (2m+1) * Combining and factoring out a 2, we arrive at: 2(n + m + 1) Since 'n' and 'm' are both integers, we know that the value contained int the '()' is also an integer. We can therefore rewrite this equation to be: 2n Which represents an even number as given previously. * 'm' is an integer

User Avatar

Wiki User

16y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why is the sum of 2 odd numbers always even?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Is sum of odd numbers always even?

The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc


Is the sum of two odd numbers is always odd?

The sum of two odd numbers is always even.


Will the sum of two odd numbers be even or odd?

The sum of two odd numbers is always even.


Why is the sum of three odd numbers always odd?

Because the sum of two odd numbers is always even and the sum of that even number plus another odd number is always odd.


Will the sum of 3 odd numbers be even?

No, the sum of three odd numbers will always be odd.


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.


Is the sum of 2 odd numbers always even?

Two odd numbers are always even


What is the sum of two odd numbers?

The sum of two odd numbers is always an even number


Is the sum of two odd numbers an even numbers?

Yes, when adding two odd numbers together the sum will always be an even number.


The sum of two consecutive whole numbers is always?

Since one of the numbers will be even and the other odd, the sum will always be odd.


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.


The sum of two odd numbers is always odd?

The sum of any two odd numbers is always even. This is because (a) any odd number can always be expressed as an even number plus 1, and (b) the sum of two even numbers is always even. So if X is even and Y is even then X+1 added to Y+1 will equal X+Y+2