Respuesta :

Answer:

-5

Step-by-step explanation:

Since,there are twelve digits given, we can arrange them in such a way that they make three rows.

On subtracting the second row from the first row, we have

3,3,5,4, the first three digits of these numbers are equal to the sum of the first three numbers in the third row. With the help of this, the answer will b -5.

The missing number can be found using Matrix rule. We have to apply addition and subtraction rule to find the missing number form given matrix.

The missing number is -5.

Given:

The given matrix is,

[tex]\left[\begin{array}{cccc}9&38&47&4\\6&35&42&x\\12&21&23&27\end{array}\right][/tex]

Let the missing number is [tex]x[/tex].

Apply the subtraction rule to subtract second row from first row.

[tex]\left[\begin{array}{cccc}9&38&47&4\\3&3&5&4-x\\12&21&23&27\end{array}\right][/tex]

The sum of first three number is equal to the sum of digits of the first three number in the third row,

[tex]1+2=3\\2+1=3\\2+3=5[/tex]

Now from the same pattern.

[tex]2+7=4-x\\x=-5[/tex]

Thus, the missing number is -5.

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