Solve the problem
-Of all possible pairs of positive numbers having a sum of 82, which pair has the maximum product?
A) 31 and 51
B) 40 and 42
C) 41 and 41
D) 32 and 50

Question

Quizplus · Accepted Answer

The maximum product of two numbers with a fixed sum occurs when the two numbers are as close to each other as possible. In this case, that's 41 and 41, because 41 + 41 = 82, and the product is maximized when the numbers are equal or nearly equal.

Solve the Problem -Of All Possible Pairs of Positive Numbers Having a Sum