OMCPLP 2017 Problem 1
- Day 1
In a math test, there are easy and hard questions. The easy questions worth 3 points and the hard questions worth D points. If all the questions begin to worth 4 points, the total punctuation of the test increases 16 points. Instead, if we exchange the questions scores, scoring D points for the easy questions and 3 for the hard ones, the total punctuation of the test is multiplied by . Knowing that the number of easy questions is 9 times bigger the number of hard questions, find the number of questions in this test.
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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