Arrangement of Numbers to Get a Common Sum I'm having trouble with a math problem. I need to arrange 6 numbers on a certain diagram:

At every intersection of two circles, I have to put one of these six numbers: 4, 5, 5, 6, 6, or 7. The sum of all of the numbers on each circle must be the same. Is it possible to arrange these numbers this way?

Edit:  I misunderstood the question.  Anyway, I'm keeping my answer here in case it provides additional ideas...

The sum of the numbers in each circle is 17.
