- #1

- 301

- 0

The men are asked to find x and y.

Both men have perfect logic.

Know that the starting numbers were selected from [2,100]

And are good mathematicians.

The following conversation occurs:

**Product:**I don't know what the numbers are.

**Sum:**I knew you didn't know what the numbers were, but I don't know them either.

**Product:**I know what the numbers are.

**Sum:**I know what the numbers are.

What were the numbers?

-----------------------------------------

I've tried brute forcing this but it was taking WAY too long for me to care. Is there any intuitive and easy way of figuring this out?