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: Pick smallest distinct odds/even

Choose 1, 3 (smallest distinct positive odd numbers) and 2 (smallest positive even number).

Step2: Calculate the sum

$1 + 3 + 2 = 6$

Step3: Verify parity

6 is an even number, which contradicts the claim that the result is odd.

Answer:

$1 + 3 + 2 = 6$