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Part of 2003 Bosnia and Herzegovina Team Selection Test

Problems(1)

Bosnia and Herzegovina TST 2003 Day 1 Problem 1

Source: Bosnia and Herzegovina Team Selection Test 2003

9/18/2018
Board has written numbers: 55, 77 and 99. In every step we do the following: for every pair (a,b)(a,b), a>ba>b numbers from the board, we also write the number 5aāˆ’4b5a-4b. Is it possible that after some iterations, 20032003 occurs at the board ?
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