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IMSO 2014 — Math Division — Essay Question 2

IMSO Maths · IMSO 2014 — Math Division — Essay

Question 2

Alice and Brian each have some number of cows. Alice says to Brian: “If I add three times the number of cows you have to mine, then I am satisfied.” Brian replies: “If I add five times the number of cows you have to mine, then I am satisfied.” If the number of cows which makes them satisfied is the same, what is the minimum value of this number?