Combinatorics · Counting arguments · Extremal bounds · Logic puzzle
Problem 4, 1997
The caliph of Baghdad rewarded three wise men with ten purses: the first held \(0\) dinars, the second \(1\) dinar, the third \(2\) dinars, and so on up to the tenth, which held \(9\) dinars. The first wise man, Husein Huslija, took two of the purses. Abdurahman and his brother Omar divided the remaining ones between themselves so that Omar, being the elder, received more money. Later four purses were stolen from Abdurahman, leaving him with \(10\) dinars. How many dinars were in each of Husein Huslija's two purses?
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Municipal Competition 1997, high school grade I, problem 4. Organized by the Mathematical Society of Serbia (DMS).