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Each student at a certain Mathematics exam either solved the hardest p

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Each student at a certain Mathematics exam either solved the hardest problem correctly or incorrectly. What percent of the examinees solved the hardest problem correctly?

1. The average score of those students who solved the hardest problem correctly was 12 more than the average score of all students.
2. The average score of those students who solved the hardest problem incorrectly was 3 less than the average score of all students.

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