Question

Among all pairs of numbers with a sum of 185, find the pair whose product is maximum. write your answers as fractions reduced to lowest terms.

Answer 1

The product of the two numbers that are each half of 185 will be the maximum
.. 185/2 and 185/2

Answer 2

Two numbers that we can chose here are half of 185 each.

As they will give us maximum product.

So the two numbers would be 185/2 and 185/2

$Product = \frac{185}{2} * \frac{185}{2}$

On multiplying we will get,

34225/4

Answer : The two numbers are 185/2 and 185/2.