Number theory · Divisibility · Arithmetic series · Linear diophantine equations · Bounding
Benjamin was working out the sum \(1 + 2 + 3 + \dots + 2012\). He left out a few of the terms, and the wrong total he ended up with was divisible by \(2011\). Anika was working out the sum
and she left out exactly the same terms as Benjamin; her wrong total \(N\) was divisible by \(2014\). Determine the ratio \(\dfrac{N}{A}\).
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2013, 1. letnik, category A, problem B3. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source