Reminds me of this problem:
Two numbers are chosen randomly, both are positive integers smaller than 100. Sandy is told the sum of the numbers, while Peter is told the product of the numbers.
Then, this dialog occurs between Sandy and Peter:
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I do know the numbers.
What are the numbers?
Source: https://www.reddit.com/r/math/comments/32opae/next_level_che...
Two numbers are chosen randomly, both are positive integers smaller than 100. Sandy is told the sum of the numbers, while Peter is told the product of the numbers.
Then, this dialog occurs between Sandy and Peter:
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I don't know the numbers.
Sandy: I don't know the numbers.
Peter: I do know the numbers.
What are the numbers?
Source: https://www.reddit.com/r/math/comments/32opae/next_level_che...