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MathNet 2026 — Part 01 Question 59

Math Olympiad Vault · MathNet 2026 — Part 01

Question 59

The monkey says to the fox: - Do you see the 3 people who are running far away? I know the product of its ages is $2450$; and that the sum of ages is the double of their age. Can you tell me your ages? - No, replies the fox. - And if I tell you that the youngest of the three is the only blonde, can you now find out the ages? And the fox gives the ages of 3 people. Why can't the fox respond initially? And why can you answer later?