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IMSO 2022 Mathematics – International Essay Question 6

IMSO Science · IMSO 2022 Mathematics – International Essay

Question 6

There are three problems in a mathematics contest. Students win gold, silver or bronze medals if they are able to solve 3, 2 or 1 problem(s) respectively. If each problem is solved by exactly 80 students and there are exactly 144 medalists, what is the positive difference between the number of gold and bronze medalists?