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(320) 1

Part of 1992 Tournament Of Towns

Problems(1)

TOT 320 1992 Spring O J1 10 different products for sale

Source:

6/9/2024
At the beginning of a month a shop has 1010 different products for sale, each with equal prices. Every day the price of each product is either doubled or trebled. By the beginning of the following month all the prices have become different. Prove that the ratio (the maximal price) /(the minimal price) is greater than 2727.
(D. Fomin and Stanislav Smirnov, St Petersburg)
algebrainequalities