SEAMO 2027 - Paper B - SET 10 - Self-study Question 9

Given that $a$ and $b$ are whole numbers, determine which statements are true:

(i) If $a+5b$ is even, then $a-3b$ is even.

(ii) If $a+5b$ is even, then $a-3b$ is odd.

(iii) If $a+5b$ is odd, then $a-3b$ is even.

(iv) If $a+5b$ is odd, then $a-3b$ is odd.