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IMSO 2009 Mathematics · Taiwan Second Round Essay Question 6

IMSO Maths · IMSO 2009 Mathematics · Taiwan Second Round Essay

Question 6

Five students A,B,C,D,E competed in solving a mathematics problem. A complete solution earned 10 points; a partial solution earned an integer from 2 to 9. Each student scored points. A,B,C together earned 15; B,C,D together earned 12. All scores were different. A had the highest score, and E, who scored 6, was third. What was D’s score?