MathDB

1

Part of 2008 Chile National Olympiad

Problems(1)

3-digit number of buses wanted

Source: Chile Finals 2008 L2 p1

10/5/2022
Alberto wants to invite Ximena to his house. Since Alberto knows that Ximena is amateur to mathematics, instead of pointing out exactly which Transantiago buses serve him, he tells him: the numbers of the buses that take me to my house have three digits, where the leftmost digit is not null, furthermore, these numbers are multiples of 1313, and the second digit of them is the average of the other two. What are the bus lines that go to Alberto's house?
number theoryDigits