If three different natural numbers are given, the sum of two of them must be even. Why?

If three different natural numbers are given, the sum of two of them must be even. Why?

For three different natural numbers, there are only the following cases: ① three odd numbers, then the sum of any two must be even; ② three even numbers, the sum of any two must be even; ③ two odd numbers, one even number, the sum of two odd numbers is even; ④ two even numbers, one odd number, the sum of two even numbers is even The sum of two numbers must be even