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SMO 2018 Junior Round 1 Question 10

SMO · SMO 2018 Junior Round 1

Question 10

In Round 1 of a game, three numbers 2,3 and 5 are written around a circle. In Round 2, the sum of every two adjacent numbers with respect to the circle is written between them. The following diagram shows the numbers after Rounds 1 and 2. Find the sum of all the numbers written around the circle after Round 5.

Question illustration