Aritmētiskas progresijas locekļu dalāmība. Visi skaitļa daudzkārtņi veido aritmētisku progresiju.
\(250\) tickets were made for the theatre performance and at least half of them were sold. It is known that exactly a third of the audience were schoolchildren, exactly one fifth of the audience were students and exactly one-seventh were retirees. How many tickets were sold?
Uz teātra izrādi tika izgatavotas \(250\) biļetes un vismaz puse no biļetēm tika pārdotas. Zināms, ka tieši trešdaļa no skatītājiem bija skolēni, tieši piektdaļa – studenti un tieši septītdaļa – pensionāri. Cik biļetes tika pārdotas?
Atrodi naturālu skaitli, kuru, dalot ar \(2010\), atlikumā iegūst \(13\), bet, dalot ar \(2011\), atlikumā iegūst \(3\).