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Because three odd numbers can be expressed as 2a + 1, 2b + 1 and 2c + 1. Adding these gives 2(a + b + c) + 3: 2(a + b + c) is obviously even, being a multiple of 2, and 3 is equally obviously 1 more than another even number, so your total comprises two even numbers plus 1, ie an odd number.

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Q: Why when you add 3 odd numbers together you get an odd number as the sum?
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Related questions

What 3 odd numbers added together equal 12?

15


What are the 9 odd numbers which gives the sum eighty?

Not possible ! If you add an odd number of odd numbers together, the result will ALWAYS be odd !


What 5 odd numbers equal 30 when added and you can use the odd numbers more than once?

There are no 5 odd numbers that when added together make 30.Two odd numbers added together make an even numberAn odd number plus and even number makes an odd number.From the five odd numbers:Take two of them and add them together getting an even number and four odd numbersAdd another of the odd numbers to this even number and you will have three odd numbersAdd two of these together and you will have one even and one odd number.Finally add these odd and even numbers together and the result will be an odd numberBut 30 is an even number, so cannot be the sum of five (or any odd number of) odd numbers.


What happens if you add four numbers odd together?

You get an even number


What two even numbers can you add together to get an odd number?

There cannot be two such numbers.


What 2 prime numbers add together to make 91?

Two is the only even prime number. When you add an odd number to another odd number, you get an even number. When you add an even number to an odd number, you get an odd number. 91 is an odd number, therefore the answer is 2 and 89.


What five odd digits that add up to 14?

It is not possible to add together 5 odd numbers to make an even number.


When adding 2 odd numbers together will you always get an even number?

Yes. Try it right now. Any two odd numbers, add them together.


What 9 odd numbers add up to 50?

An odd number of odd numbers can not add up to an even number. There fore any 9 (odd) odd numbers can not add up to 50 (even).


What 2 odd numbers add up to a odd number?

None. Any two odd numbers add up to an even number.


7 odd numbers that add up to 30 without minus?

Can not be done! An odd number of odd numbers will ALWAYS add up to an odd number.


Is it possible to have 2 even numbers that add to be an odd number?

no...all even numbers that are added together are even.