Maths Olympiad Prep

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UKMT Senior Kangaroo, 2017

Combinatorics Difficulty 2.0 Junior Prove it United Kingdom

An integer is to be written in each circle of the network shown. The integers must be written so that the sum of the numbers at the end of each line segment is the same. Two of the integers have already been written. What is the total of all the integers in the completed diagram?

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