MathDB

Joaquín and his brother Andrés go to class every day on the

62

bus. Joaquín always pays for the tickets. Each ticket has a

5

-digit number printed on it. One day, Joaquín observes that the numbers on his tickets - his and his brother's - as well as being consecutive, are such that the sum of the ten digits is precisely

62

. Andrés asks him if the sum of the digits of any of the tickets is

35

and, knowing the answer, he can directly say the number of each ticket. What were those numbers?

Problem Statement