Question

find two positive numbers whose sum is 24 and the product is maximum

Answer 1

6 and 4 is answer o.k

Answer 2

Please check the question again as the product being maximum doesn't make sense.

If the product of the numbers should be 24 and their sum should be maximum then the numbers are 12 and 2.

$12 \times 2 = 24 \\ 12 + 2 = 14$