In order to find the greatest product of two numbers whose sum is 12, we need to find two numbers that are as close together as possible. This is because, according to the concept of arithmetic mean and geometric mean inequality, the product of two numbers is maximized when the two numbers are equal.
Two numbers whose sum is 12 and are as close together as possible would be 6 and 6.
Therefore, the greatest product of two numbers whose sum is 12 is 6 multiplied by 6, which equals 36.
Find the greatest product of two numbers whose sum is 12
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