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In a magic square, the numbers in each row, the numbers in each column, and the numbers on each diagonal have the same sum. In the magic square shown, the value of $x$ is _________.
$$\begin{array}{|l|l|l|}
\hline 2.3 & & \\
\hline 3.6 & 3 & 2.4 \\
\hline & x & \\
\hline
\end{array}$$

  1. $3.6$
  2. $3.1$
  3. $2.9$
  4. $2.2$
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1 Answer

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Since given : all row sums are same as each other and all diagonal sums and all column sums

mid row = 3.6 + 3 + 2.4 = 9
$\therefore$ a$_{11}$ + a$_{22}$ + a$_{33}$ = 9

9 – 2.3 – 3 = a$_{33}$ = 3.7

also, a$_{11}$ + a$_{21}$ = 5.9

$\therefore$ a$_{31}$ = 3.1

x = a$_{32}$ = 9 – 3.1 – 3.7 = 2.2

d)
Answer:

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