[math-fun] unexpected hangings redux

You, I, and Mr. Apollinax are traveling on a train. He leans over to you and says, with a leer, "whisper a natural number into my ear." You do so. He then turns to me and asks me to do the same. I do. He then claps his hands and says "Marvelous! Your numbers are distinct, and neither of you can deduce which one is larger." Get it? - Cris p.s. I heard this from Thilo Gross...