Answer 2
Think about it. Assume that 1 is the odd number you are adding to an even number. Adding it will take you to the next number - which must be an odd number. If you add it to that number, it will take you to the next number, which now is an even number.
If you use a number larger than 1 the principal is still the same.
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Two odd numbers always sum to an even number. Always. Two even numbers always sum to an even number, and an odd number and an even number always sum to an odd number.
No. No matter what you use, the sum of an odd number and an even number will always be odd.
No. The sum of 1 odd number and 1 even number must always be odd.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.
The sum of an odd and even number is always odd because there's always one left over. Think of any odd number as being any even number plus one. If you add two even numbers, the answer is always even. If you add an even and an odd (plus one), the answer is always odd.