Question

If the space below, provide the smaller of the two positive integers that add 30 and have the largest possible product.
Numerical Answers Expected!

Answer 1

common sense would tell us that the 2 numbers would have to be the same, each equal to 15

let's see:
let the smaller be x
larger = 30-x
product = x(30-x) = -x^2 + 30x
d(product)/dx = -2x + 30
= 0 for a max of product
2x = 30
x = 15
one number is 15, so is the other, their product = 225

I was right.