Here is the single answer to the Magic Hexagon Puzzle.
If you find a different solution and study it carefully, it will be either a reflection or rotation of the answer above. Why only one answer? Because if you swap any two numbers you lose the magic and swapping more to try and improve the totals only makes it worse!
This puzzle took years to solve before computers arrived - this is the answer discovered by William Radcliffe, a primary school teacher at Andreas School, Isle of Man, UK and published in 1896. He wrote a letter to Henry Dudeney in 1902 pointing this out. The picture comes from Martin Gardner’s article in the University of Chicago Magazine, March 1975. The hexagon has been turned to make life difficult but the number order is still the same.
Now if you have an interest in exploring more, there is the whole world of Magic Squares and pan-Magic Squares but be warned, you can get in deep.