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Australian AMC 2024 - Intermediate Question 23

AMC AUSTRALIA · Australian AMC 2024 - Intermediate

Question 23

A group of tourists stayed in two rooms when visiting a museum. The average age of the tourists in the first room was 45 and the average age of the tourists in the second room was 20. When one tourist walked from the first room to the second, the average ages in each room increased by 1. If the second group had 7 more tourists at the beginning, what was the age of the tourist who moved rooms?
  1. 36
  2. 37
  3. 38
  4. 39
  5. 40