Question

In the magic square shown, the sums of the numbers in each row, column and diagonal are the same. What are the values of x, y, z, v,w?!??!??

Answer 1

$v=23$, $w=19$, $x=22$, $y=26$, $z=20$;; to find the answer, set the expressions equal to each other, since the sum of the numbers should be the same.

Use $v+w+24=v+43$ and solve for $w$, which would result in $w=19$.

You can also use $x+z+24=z+46$ to find $x$– or $x=22$.

Plug in the values for $x$ and $w$, and find $y$ using $25+22+19=y+40$ or $66=y+40$ and results in $y=26$.

After plugging in the $y$ value, you can easily find $v$ and $z$.

$v+18+25=66$– 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, $v+43$ should also equal 66. This results in $v=23$, and, using the same value for the sum of $z+21+25$, or $z+46=66$, we find that $z=20$.

The final answer is $v=23$, $w=19$, $x=22$, $y=26$, $z=20$.

Sorry it took so long;; I hope this helps :)