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MathNet 2010 — Part 04 Question 81

Math Olympiad Vault · MathNet 2010 — Part 04

Question 81

On a day in the 1900s, Bat noticed on his birthday that his age equalled the sum of the digits of his birth year. His older brother Bold had the same birthday and his age satisfied the same rule. If both were younger than 99, how many years older was Bold than Bat?