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Problem of the Week
Problem B
The Puzzler Returns

Our superhero The Puzzler is back, seeking your help once more to solve the following number puzzle.

Place each of the numbers \(2\), \(3\), \(4\), \(5\), \(6\), \(7\), \(8\), \(9\), and \(10\) in a different circle in the diagram so that each line of three circled numbers has the same sum.

Four intersecting lines form an eight-pointed asterisk. A circle is placed in the middle where the lines intersect, and eight circles are placed around it, with one at the end of each of the eight points of the asterisk.

Can you find more than one possibility for the number that can go in the middle circle?

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Theme: Number Sense