SOLUTION: Two intigers whose sum is 93 and their product is the maximum?

Question 388141: Two intigers whose sum is 93 and their product is the maximum?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Maximize x(93 - x). This is a quadratic expression whose maximum occurs midway between the roots, or (0 + 93)/2 = 46.5. Since we want an integer solution, x = 46 or 47. Incidentally, this pair has a sum of 93, and their product is 2162. So the integers are 46 and 47.
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