# Task 1. (2 points)

Find the smallest three-digit number ABC that is divisible by the numbers AB and BC (the digit A cannot be 0, and the digit B can be; different letters do not necessarily represent different digits)
Answer: 110

Solution:

The number 110 clearly fits. A smaller answer cannot be, as all three-digit numbers less than 110 start with 10. At the same time, none of them are divisible by 10, except for 100, and 100 is not divisible by 0.