B + 1 or B - 1
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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.
The difference of an odd number and an even number is an odd number.
An even number can be a multiple of an odd number OR an even number. An odd number cannot be a multiple of an even number.
Always odd.
Because the second number from an odd number is odd, and every other number is an odd number. In fact, if you add or subtract an even number with any number, the result keeps the same parity as the other number. So an odd number minus an even number is odd, while an even number minus and even number is even.