The difference between any two-digit even number and any two-digit odd number is always odd, specifically 1.
Here's why:
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Even and Odd Number Definition: An even number is an integer that is exactly divisible by 2. An odd number is an integer that leaves a remainder of 1 when divided by 2.
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Consecutive Integers: Any two consecutive integers will always alternate between even and odd. Therefore, if you pick any two-digit even number, the immediately preceding or succeeding number will be an odd number, and vice versa.
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The Difference: The difference between any two consecutive integers (regardless of whether they are two-digit or not) is always 1. Subtracting the smaller from the larger will result in +1, and subtracting the larger from the smaller will result in -1. In either case, the absolute value of the difference is 1.
Examples:
- 24 (even) - 23 (odd) = 1
- 37 (odd) - 36 (even) = 1
- 98 (even) - 99 (odd) = -1 (absolute value is 1)
- 11 (odd) - 10 (even) = 1
Therefore, since two-digit even and odd numbers are consecutive integers, their difference will always be 1, an odd number.
