ACE, BEA AND CEC ARE EACH GIVEN A POSITIVE INTEGER. TH...

6. Ace, Bea and Cec are each given a positive integer. They do not know the

numbers given to the others, but are told that the sum of the three numbers is 15.

Ace announces that he can deduce that the other two have diferent numbers,

while Bea independently announces that she can deduce that no two of the three

numbers are the same. Hearing both announcement, Cec announces that he

knows all three numbers. What are they?

Answer :

A= , B= , C=