Nathaniel F.

# Is it possible to solve for Y using information from the following problems:

A + 30= Y
B + 28= Y
C + 26= Y
D + 32 = Y

I'm writing a book (i.e. I'm not great at math) and my protagonist must solve a riddle. The riddle is a Magic Square, where some (four) of the numbers in the grid are missing. If you are not familiar with what a magic square is, it's a form of recreational math that dates back to the sixth century B.C.E. Imagine a 16-square grid filled with numbers where each row, column, and diagonal equals the same number when added together. For example:

A   14    15   1
9    7     B     12
5    11   10    C
16   D    3    13

If our protagonist can figure out what Y equals, he can easily figure out the missing numbers through simple algebra. I've simplified the problem above by adding the rows and columns together. Also, no two numbers are ever repeated in a magic square. Not sure if that helps.

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Effective Mathematics Tutor

Nathaniel F.

How did you figure this out?
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01/15/18 Arthur D.

tutor
Trial and error, Nathaniel, along with the fact that you are missing 2, 4, 6, and 8 in the magic square with the letters. I started with A=2 and went on from there.
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01/15/18

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