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two types of tickets on planet X31

Source: IV May Olympiad (Olimpiada de Mayo) 1998 L2 P5

September 17, 2022
number theory

Problem Statement

On planet X31X31 there are only two types of tickets, however the system is not so bad because there are only fifteen full prices that cannot be paid exactly (you pay more and receive change). If 1818 is one of those prices that cannot be paid exactly, find the value of each type of bill.