The-numbers-1-2-3-4-5-6-7-8-9-and-10-are-written-around-a-circle-in-arbitrary-order-We-add-all-the-numbers-with-their-neighbours-we-get-10-sums-that-way-What-is-the-maximum-possible-value-of-the-s

Question Number 134205 by liberty last updated on 01/Mar/21

$$ \\ $$The numbers 1,2,3,4,5,6,7,8,9 and 10 are written around a circle in arbitrary order. We add all the numbers with their neighbours, we get 10 sums that way. What is the maximum possible value of the smallest of these sums?

Commented by mr W last updated on 01/Mar/21

$$\mathrm{16}? \\ $$

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