Question

find the smallest distinct positive numbers that provide a counterexample to show the statement is false. the sum of any two different odd numbers plus any even number is odd. the counterexample is \\(\square + \square + \square = \square\\).

Explanation:

Step1: Identify smallest distinct odds/even

Smallest distinct odd numbers: 1, 3; smallest even number: 2

Step2: Calculate their sum

$1 + 3 + 2 = 6$

Step3: Verify counterexample

6 is even, disproving the "sum is odd" claim.

Answer:

$1 + 3 + 2 = 6$