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MathNet 2026 — Part 02 Question 90

Math Olympiad Vault · MathNet 2026 — Part 02

Question 90

On a mysterious island were 13 gray chameleons, 15 brown chameleons and 17 red chameleons. When two chameleons of different colors meet, the two take the third color. For example, if a gray meets a red, then the two turn brown. Because of a storm, there were 2 gray-red encounters, 3 brown-red encounters and 1 gray-red date, how many chameleons of each color were on the island?