Personal tools
You are here: Home / Users / Ralf Hemmecke / Fun Problems / Anton's Problem

Anton's Problem

Once there were 3 friends (Anton, Simon, Paul) chatting to each other in a dining hall.

The following happened:

Anton:
I've chosen two natural numbers which are both greater than 1. I'm going to tell Simon the sum and Paul the product of these numbers.
Anton then gave Simon the sum and Paul the product, such that each of our friends knew "his" number only but not the number of the other friend.
Anton:
Now, can you guess the numbers which I have in mind?
Simon and Paul liked this sort of game. Their conversation was the following:
Simon:
I don't know Anton's numbers.
Paul:
I don't know them either.
Simon:
Hey, now I know.
Paul:
Then I know them too.
A maths professor had observed this whole situation from the very beginning. He went to our friends and said:
Professor:
I know Anton's numbers, too!

Now, what are Anton's numbers?

« December 2024 »
December
MoTuWeThFrSaSu
1
2345678
9101112131415
16171819202122
23242526272829
3031
Upcoming Events
RISC Forum Dec 09, 2024 01:30 PM - 01:45 PM
RISC Forum Dec 16, 2024 01:30 PM - 01:45 PM
NO RISC Forum Dec 23, 2024 01:30 PM - 01:45 PM
NO RISC Forum Dec 30, 2024 01:30 PM - 01:45 PM
NO RISC Forum Jan 06, 2025 01:30 PM - 01:45 PM
Previous events…
Upcoming events…