The common sum
Put the whole numbers from 2012 to 2018 into the seven regions in the figure below, so that each region has only 1 number and the sums of the numbers inside each circle are equal. What is the smallest possible value of this sum?
Source: NMOS 2018 Preliminary Round Question 30
The answer is 8057.
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1 solution
The number in the intersection of three circles will be the average of all numbers i.e.2015. And sum of numbers in one circle is2057.