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August 27, 2014

August 27, 2014

Posted by **Anneliese** on Wednesday, February 25, 2009 at 5:46pm.

Here's what the magic square looked like. I'll type semi-colons to seperate each "square."

v; 24; w

18; x; y

25; z; 21

I don't know how to solve this at all. Considering that all of the other problems on this worksheet had to do with systems of 3 equations with 3 variables, I'm assuming I'll have to make a system of equations. How would I find this information in the magic square?

- algebra -
**Reiny**, Wednesday, February 25, 2009 at 7:03pmlast row = second column

25 + z + 21 = 24 + x + z

x = 22

second row = last row (we now know x=22)

18+22+y = 25+z+21

y = z + 6 #1

first row = third colums

v+24+w = w+y+21

y=v+3 #2

first row = right diagonal

v+24+w = 25+x+w

v+24 = 25+22

v = 23

then in #2 y = 23 + 3 = 26

we now know the sum of each row from the second row:

18+22+26 = 66

so what do we have so far ?

23 24 w

18 22 26

25 z 21

from that w = 66-23-24 = 19

z = 66-25-21 = 20

check:

23 24 19

18 22 26

25 20 21 OK!

- algebra -
**Reiny**, Wednesday, February 25, 2009 at 7:05pmThere was really no method to what I did

I noticed that the last row was a good one to use, since it contained only one variable

from there it was just "hit or miss"

there may very well be a better way.

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