MathDB
many screws in closed boxes

Source: I May Olympiad (Olimpiada de Mayo) 1995 L2 P2

September 17, 2022
algebra

Problem Statement

The owner of a hardware store bought a quantity of screws in closed boxes and sells the screws separately. He never has more than one open box. At the end of the day Monday there are 22082208 screws left, at the end of the day Tuesday there are still 16161616 screws and at the end of Wednesday there are still 973973 screws. To control the employees, every night he writes down the number of screws that are in the only open box. The amount entered on Tuesday is double that of Monday. How many screws are there in each closed box if it is known that they are less than 500500?