Friday

November 28, 2014

November 28, 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.

**Answer this Question**

**Related Questions**

Math - A magic square is a square of numbers with each row, column, and diagonal...

Math - A magic square is a square of numbers with each row, column, and diagonal...

math - the frist grid is not a magic square. Change some of the numbers so the ...

pre-algebra - In a number square, the sum of the numbers in each row, column, ...

math - if you have 3 rows and three columns and you have to find the hidden ...

Math - I have to do a 4x4 magic square with the digits 2011 so that each row ...

Math - Magic Square??? - My daughter is in 2nd grade and has a worksheet called ...

math - use all digits from 1 - 9 inclusively to make a 3 by 3 magic square.each ...

Math - Help! How do I complete these magic squares! They're taking me FOREVER! ...

Grade 9 Algebra Question 3 (LAST) - PASCAL’S TRIANGLE For Exercises 5 and 6, use...