Question

In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible product.

Answer 1

think of a rectangle. The rectangle with the largest area is a square.

So, 30^2 = 900

Any other two numbers with sum=60 will have a smaller product. They will be (30-k) and (30+k), whose product is 30^2 - k^2

Answer 2

30