Question 4
A machine converts any positive integer into a two-digit code as follows:
1. The first digit is its remainder on division by 9.
2. The second digit is its remainder on division by 17.
3. If the remainder on division by 17 exceeds 9, the second digit is instead 9.
For example, 20 is converted to 23. What is the smallest number converted to 13?
1. The first digit is its remainder on division by 9.
2. The second digit is its remainder on division by 17.
3. If the remainder on division by 17 exceeds 9, the second digit is instead 9.
For example, 20 is converted to 23. What is the smallest number converted to 13?