[tex]v=23[/tex], [tex]w=19[/tex], [tex]x=22[/tex], [tex]y=26[/tex], [tex]z=20[/tex];; to find the answer, set the expressions equal to each other, since the sum of the numbers should be the same.
Use [tex]v+w+24=v+43[/tex] and solve for [tex]w[/tex], which would result in [tex]w=19[/tex].
You can also use [tex]x+z+24=z+46[/tex] to find [tex]x[/tex]– or [tex]x=22[/tex].
Plug in the values for [tex]x[/tex] and [tex]w[/tex], and find [tex]y[/tex] using [tex]25+22+19=y+40[/tex] or [tex]66=y+40[/tex] and results in [tex]y=26[/tex].
After plugging in the [tex]y[/tex] value, you can easily find [tex]v[/tex] and [tex]z[/tex].
[tex]v+18+25=66[/tex]– since 66 is the sum of a full row, and the sums of the numbers in each row, column, and diagonal are the same, so therefore, [tex]v+43[/tex] should also equal 66. This results in [tex]v=23[/tex], and, using the same value for the sum of [tex]z+21+25[/tex], or [tex]z+46=66[/tex], we find that [tex]z=20[/tex].
The final answer is [tex]v=23[/tex], [tex]w=19[/tex], [tex]x=22[/tex], [tex]y=26[/tex], [tex]z=20[/tex].
Sorry it took so long;; I hope this helps :)
