Question

Find a counter example to show that each of these statements are false

If the difference between two numbers is odd,
then the two numbers are both odd.

Answer 1

Explanation:

let's say, 7 - 4 = 3

that contradicts the statement that both numbers are odd.

no, they are 7, 4, with 4 being even (and not odd).

in fact, as with sums and subtractions in general, it requires an odd and an even number to produce an odd result.

odd with odd always delivers an even result. as does even with even.