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Well, let's see . . . . .
3 + 5 = 8
5 + 15 = 20
7 + 19 = 26
31 + 27 = 58
49 + 11 = 60
It's looking bad for your proposed rule.
This can actually be proven.
Any odd number can be expressed as 2p + 1 where pis any integer.
Let a = 2p + 1 and b = 2q + 1 where p and q are any two integers. Then, by definition, a and b are both odd, so lets add them up.
We know that any two integers added together equals another integer, the question is whether or not that integer is even or odd.
Let m be the integer such that a + b = m.
Substituting, we get (2p + 1) + (2q + 1) = m or 2p + 2q + 2 = m.
Dividing by 2 we get p + q = m/2 - 1.
Since p and q are both integers, m/2 - 1 must also be an integer. Therefore, m must be an even number.
Substituting the expression for p into the expression for a from above we get:
a = 2(m/2 - 1 - q) + 1 = m - 2 - 2q + 1 = m - (2q + 1) = m - b.
Therefore, a + b = m where a and b were both defined to be odd and m was previously shown to be even.
Thus, an odd + an odd = an even.
Q.E.D.
Wiki User
∙ 13y ago
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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 is an even number plus an even number equal to?
An even number.
Can a odd number plus 1 equal a prime?
1+1=2
When odd number plus an even number is equal even numbers?
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.
What does odd plus even equal?
An odd number plus an even number will always be an odd number.
What does odd plus odd always equal?
An even number
Does a odd number plus a odd number always equal a even number?
Yes.
Is 12 plus 11 equal to a odd number?
Yes because 12+11 = 23 which is an odd number
What is an even number plus an even number equal to?
An even number.
Can a odd number plus 1 equal a prime?
1+1=2
When does the sum odd number plus even number equal even number?
In normal arithmetic, never.
When odd number plus an even number is equal even numbers?
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.
Why does an even number plus an odd number equal an even number?
It doesn't. An even number(for example 2) plus an odd number(for example 3) would give you an odd number for the answer. Comment: Im sorry but you are mistaken, 2 is an odd number 2/2 2/1 so 2+4=6 see?
An odd number plus an even number is what kind of number?
It is an odd number.
Odd number plus odd number?
... equals an even number
What is an even plus an even plus an odd?
You'll get an odd number when adding two evens (which will be even) and an odd number.
