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2017 InIMC keystage3-IWYMIC individual Question 12

xIMC · 2017 InIMC keystage3-IWYMIC individual

Question 12

Mal, Num, and Pin each have distinct number of marbles. Five times the sum of the product of the number of marbles of any two of them equals to seven times the product of the number of the marbles the three of them have. Find the largest possible sum of their marbles.