Question

determine two positive numbers whose sum is 24 and whose product is maximum​

Answer 1

Answer: 20+4

Step-by-step explanation: As we add the two numbers we get 24 but if we multiply those two numbers there product is maximum.

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Answer 2

Answer:

12, 12

Step-by-step explanation:

Possible Values

1 + 23 = 24, 1  x 23 = 23

2 + 22 = 24, 2 x 22 = 44

3 + 21 = 24, 3 x 21 = 63

4 + 20 = 24, 4 x 20 = 80

5 + 19 = 24, 19 x 5 = 95

6 + 18 = 24, 18 x 6 = 108

7 + 17 = 24, 17 x 7 = 119

8 + 16 = 24, 16 x 8 = 128

9 + 15 = 24, 15 x 9 = 135

10 + 14 = 24, 14 x 10 =140

11 + 13 = 24, 13 x 11 = 143

12 + 12= 24, 12 x 12 = 144

So, 2 positive number are 12 and 12. Maximum product is 144.