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: 3

2015 District Olympiad, 4
Tags: word , base 10 arithmetic , arithmetic
Determine all pairs of natural numbers, the components of which have the same number of digits and the double of their product is equal with the number formed by concatenating them.

2015 District Olympiad, 1
Tags: number theory , arithmetic , base 10 arithmetic
Determine all natural numbers $ \overline{ab} $ with $ a<b $ which are equal with the sum of all the natural numbers between $ a $ and $ b, $ inclusively.

2015 District Olympiad, 3
Tags: base 10 arithmetic , arithmetic
Determine the perfect squares $ \overline{aabcd} $ of five digits such that $ \overline{dcbaa} $ is a perfect square of five digits.