using all of the digits 1 to 9 can students arrange these in the nine  spaces of the Olympic rings so that the totals in the circles are the  same?
this task is made more interesting by  there being at least three substantially different answers and you can  prove that the lowest possible total for the  circles is 11 and the highest is 15
you  can also prove that the sum of the overlap numbers must be a multiple  of 5 and that circle totals of 12 and 15 are impossible
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