Question

What is the smallest possible products of the digit

Answer 1

Answer:

x + y = 82

You want to minimize x*y. To do so, you want to solve for y, y = 82-x and substitute this into x*y:

x(82-x) = 82x-x^2

Taking a derivative of 82x - x2 : 82 - 2x

Set the derivative = 0 and solve for x: 82 - 2x = 0

2x = 82

x = 41

The minimum product should be 41*41 = 1681