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Klassiker des philosophischen Denkens
Klassiker des philosophischen Denkens

Norbert Hoerster

Puzzle 2: The Birthday Celebration



At the birthday celebration of an elderly gentleman, who has not yet turned 100 years old, a journalist asks him: "How many children have you?" The gentleman answers: "The number of my grandchildren corresponds exactly to my age. Every one of my sons has exactly as many brothers as children and every one of my daughters has exactly as many sisters as children." The journalist begins to calculate (he knows the age of the celebrated gentleman), then he says: "You didn't give me enough data to find out the number of your children." "No, I didn't", confirms the elderly gentleman, "but if I tell you, that I have more sons than daughters, you get all the data you need."
 
What is the age of the elderly gentleman?
How many sons and how many daughters does he call his own?
 
Solution

January 4, 1997

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