Question

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.)

Answer 1

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

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