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Australian AMC 2024 - Middle Primary Question 26

AMC AUSTRALIA · Australian AMC 2024 - Middle Primary

Question 26

Alex, Brady, Casey and Drew all share the same birthday, but are different ages. Their dad makes them a cake each, and on each cake puts birthday candles matching their ages.

- Alex’s cake has 2 times as many candles as Brady’s cake.
- Alex’s cake has 3 times as many candles as Casey’s cake.
- Alex’s cake has 4 times as many candles as Drew’s cake.

After the cakes are eaten, the candles are gathered up and counted. What is the smallest the total number of candles could be?