Question

HURRY PLEASE AND THANKS: In the magic square shown below, the sums of the numbers in each row, column, and diagonal are the same. What are the values of v, w, x, y, and z?

Answer 1

Answer:

X = 22, Y = 26, Z = 20, V = 22, W = 19

Step-by-step explanation:

1) 25 + 18 + v = 21 + x + v

x = 22

v = 22

2) 21 + y + w = 18 + 22 + y

w = 19

3) 25 + 22 + 19 = 24 + 22+ z

z = 20

4) 25 + 19 + 22 = 19 + 21 + y

y = 26

Answer 2

The value of x, y, z, v, w is 22, 26, 20, 23, 19 when the sums of the numbers in each row, column, and diagonal are the same.

Given that,

In the magic square shown below, the sums of the numbers in each row, column, and diagonal are the same.

We have to find what are the values of v, w, x, y, and z.

We know that,

The sums of the numbers in each row, column, and diagonal are the same.

So, 1st row and 1st column are equal

v + 24 + w = v + 18 + 25

w + 24 = 18 + 25

w = 43 - 24

w = 19

Now, 1st row and 3rd column

v + 24 + 19 = 19 + y + 21

v + 43 = y + 40

v = y - 3

Now, 3rd column and 1st diagonal

19 + y + 21 = v + x + 21

y + 40 = y - 3 + x + 21

y + 40 = y + x + 18

x = 40 - 18

x = 22

Now, 1st diagonal and 2nd diagonal

v + x + 21 = w + x + 25

v + 22 + 21 = 19 +22 + 25

v = 44-21

v = 23

Now, 2nd row and 1st row

18 + 22 + y = 23 + 24 + 19

y = 66 - 40

y = 26

Now, 3rd row and 2nd row

25 + z + 21 = 23 + 24 +19

z = 66 - 46

z = 20

Therefore, The value of x, y, z, v, w is 22, 26, 20, 23, 19

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