Guessing a Two-Digit Number
Logic · 26th PMO Qualifying Stage
Tasyo is thinking of a two digit number. He tells Basilio the tens digit and Crispin the ones digit, and challenges them to guess the number. Their conversation goes as follows:
• Crispin: I know the number is not prime.
• Tasyo: Correct, it is divisible by 3.
• Basilio: Now I know what the number is.
What digit did Tasyo tell Crispin?