DK-GEORGMOHR 2015 Problem 2

The numbers $1, 2, 3, . . . , 624$ are paired in such a way that the sum of the two numbers in each pair is $625$ . For example $1$ and $624$ form a pair, and $30$ and $595$ form a pair. In how many of the $312$ pairs does the smaller number evenly divide the larger?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Georg Mohr Contest 2015 official paper, page 1.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Locator dk-georgmohr/2015/p2 · Tag GRGGGGMMG7 · Edit this page on GitHub · Keys: j next, k previous