olymmath

DK-GEORGMOHR 2025 Problem 2

    In the boxes in the top row of the figure, the numbers 4,a,b,c,4,94, a, b, c, 4, 9 are written as shown in the figure, where a,ba, b and cc are among the numbers 0,1,2,...,90, 1, 2, ... , 9 . In each box lying below two other boxes, one writes the last digit of the sum of the two numbers in the boxes above. Which numbers may be written in the bottommost box? Image

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2025 official paper, page 1.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator dk-georgmohr/2025/p2 · Tag DWYCHRYJ87 · Edit this page on GitHub · Keys: j next, k previous