odd +/- odd=
even
When we add or subtract two odd numbers, the result is always an even number.
For example:
3 + 5 = 8 (which is an even number)
9 – 7 = 2 (which is also an even number)
We can prove this mathematically using algebraic expressions:
Let’s assume that x and y are odd numbers.
An odd number can be represented as 2n+1, where n is any integer.
So, x = 2a+1 and y = 2b+1, where a and b are any integers.
Now, let’s add or subtract these two odd numbers:
x + y = 2a+1 + 2b+1
= 2(a+b) + 2
= 2(a+b+1)
We can see that the result is always an even number (2 multiplied by any integer)
Similarly, if we subtract two odd numbers:
x – y = 2a+1 – (2b+1)
= 2(a-b)
Again, we can see that the result is always an even number (2 multiplied by any integer).
Therefore, odd +/- odd always equals an even number.
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