Infinity Column - A Puzzle of Three Digits - Be the Kings Advisor !




The wisest men of the kingdom are called upon by the king to his court. One of them is to be chosen for the advisor rank and thus they should take part in a contest solving intelligence tests. After several days of competitions, only two winners emerged. The king called both of them to his palace and said, “Tomorrow morning I will write on a paper and hide three digits a, b, and c which you would need to identify. You will have to tell me any three numbers x, y, and z. I will calculate then the sum ax + by + cz and tell you the result. Knowing this number, whoever guesses the three digits a, b, and c which I have in hiding, will be the winner”. What is a possible strategy to win the competition and solve the king’s problem?