There is a center circle with eight circles connected to it. A. Place numbers 24 through 32 so the sums are all the same. B. How many numbers can be placed in the middle to obtain a solution?

Answer 1

By "sum" I assume you mean the sum of three numbers in any row, with the center in each row.

One way is surely to place the middle number (29) in the center.

Then in pairs place the other numbers on ends of diameters, increasing on one end, decreasing on the other, so the sum stays constant:

24 28 32
25 28 31
26 28 30
27 28 29