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Part of 2004 Paraguay Mathematical Olympiad

Problems(1)

staircase by 2004 bricks - OMAPA Paraguay 2004.1

Source:

9/14/2021
Stairs are built by laying bricks as shown in the figure. If you have 20042004 bricks to build a staircase: a) How many steps (= escalones) will the ladder have? b) How many bricks will there be left over? https://cdn.artofproblemsolving.com/attachments/4/b/c1b80b374daeda4e33e1bb45be1d11f4b89590.png
algebra