Question

Among all pairs of numbers whose sum is 16​, find a pair whose product is as large as possible. what is the maximum​ product

Answer 1

8 and 8

To get the maximum product of two numbers with a given sum, the numbers will always be as close together as possible. This can be derives from the fact that the largest area we can get with a given perimeter is always a square. So, we can take half of the given sum here for our answer.