This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 1

2021 Kyiv City MO Round 1, 9.1
Tags: birthday
Before the math competition, Dmytro overheard Olena and Mykola talking about their birthdays. [b]О[/b]: "The day and month of my birthday are half as large as the day and month of Mykola's birthday." [b]М[/b]: "Also, the day of Olena's birth and the month of my birth are consecutive positive integers." [b]О[/b]: "And the sum of all these four numbers is a multiple of $17$." Can Dmitro determine the day and month of Olena's birth? [i]Proposed by Olena Artemchuk and Mykola Moroz[/i]