**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**

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