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 :)