Susan and Peter are given, respectively, the sum and product of two integers from 1 to 100. Then, this dialogue takes place:
P.- I don’t know which are the numbers.
S.- I knew you didn’t know.
P.- Now I know the numbers.
S.- Now I know the numbers.
This is a meta-riddle, because you are not given the full information, just what some other people know or do not know… They make up a wonderful class of problems, full of twisted convolutions! So… can you solve this one?