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Among all positive numbers , whose sum is 12, find those for which the product of the two numbers and their difference is largest. (Hint: Let =− and express in terms of alone.)

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tutorAnne

Answer: The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

Step-by-step explanation:

numbers whose sum is 12

Sum =12         Product       Difference               Product- Difference  

11 +1                   11                    10                                1

10 +2                20                   8                                 12

9 +3                  27                   6                                 21

 8 +4                 32                   4                                 28

7  +5                  35                   2                                33

6+6                    36                   0                                36

The numbers whose sum equals 12 and whose product and difference is largest is 6 and 6

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