Tuesday, October 27, 2020

Magic Square

  This magic square problem was really interesting to me because I remember solving problems like this in elementary school! These fun, math problems really get your brain thinking, and it's interesting to think about how we actually solve these. Here is my process of solving the magic square:


Initially, I had this answer, which was fairly easy to get, but then I realized that one of the diagonals do not add up to 15. My initial process was to start with 1 in the top right corner, and then use the larger numbers on the spectrum (8 and 9 in this case) to fit in the row and column that align with 1. Using 9 and 8 and then going from there, I was able to solve this square quickly. 


After initially solving the magic square, I knew that I could keep the same number combinations (i.e 8-3-4), but I just needed to re-arrange them so that both diagonals would add up. Given this, through trial and error I was able to figure out that both diagonals needed to include 5. Because I already knew the combination 6-5-4 would work for one of the diagonals from my initial trial, I inputted this diagonal first and put 5 in the middle so that it would fit in the second diagonal. From there, I had figured out the second diagonal needed to be 8-5-2 through trial and error. Once both diagonals added up, I was able to fill out the corresponding number combinations from my first trial. This was how I solved the magic square! 

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