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Let x, y and z be even numbers. This means that (x + 1), (y + 1) and (z + 1) are all odd. Adding these three odd numbers gives (x + y + z + 3). Because the sum of any number of evens must be even as well - which can be easily proven with idea that where a = 2m and b = 2n, a + b = 2m + 2n = 2(m + n), and is even - adding 3 changes it to an odd number. This holds for any set of three odd numbers.
i agree with this... but what about in the form of 2n+1?
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Will the sum of 3 odd numbers be even?
No, the sum of three odd numbers will always be odd.
What three different odd numbers make 20?
If you mean "the sum of three odd numbers", that isn't possible. The sum of three odd numbers will always be an odd number.
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
What 3 consecutive odd numbers total 270?
The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.
What three odd numbers can make 50?
The sum or product of three odd numbers will always be odd.
Is it possible to get a even number as the sum ofm three odd prime numbers?
The sum of three odd numbers will be odd, whether they are prime or not. The sum of three prime numbers can be even as long as one of them is 2.
How do you divide 30 into 3 odd numbers?
I guess you want three odd numbers that, when added, give a sum of 30. That is not possible: if you add three odd numbers, the sum will always be odd.
What three odd numbers add up to 112?
There are no such numbers. The sum of any three odd numbers must be odd. 112 is not.
What is the sum of three odd numbers?
Another odd number.
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.
What 3 odd prime numbers have sum 32?
That isn't possible. The sum of three odd numbers will always be odd. You can make the sum of 3 prime numbers equal to 32 if one of them is 2 (which is not odd).
What is the sum of the first three odd numbers?
The first three odd numbers are 1, 3, and 5. Their sum is 1 + 3 + 5 = 9.
