Question

find the missing number in figure?​

Answer 1

1st one.

$\quad\quad$$\begin{array}{|ccc|} \cline{1-3}&7&\\ 5&\boxed{63}&2\\ &1&\\ \cline{1-3}\end{array}$

Here, $5^{1}+7^{2}+2^{3}+1^{4}$

$\quad=5+49+8+1$

$\quad=\bold{63}$

2nd one.

$\quad\quad$$\begin{array}{|ccc|} \cline{1-3}&5&\\ 4&\boxed{72}&3\\ &2&\\ \cline{1-3}\end{array}$

Here, $4^{1}+5^{2}+3^{3}+2^{4}$

$\quad=4+25+27+16$

$\quad=\bold{72}$

We see that the sum of all the exponents 1, 2, 3, 4 of all the numbers respectively is represented inside the circle.

3rd one.

$\quad\quad$$\begin{array}{|ccc|} \cline{1-3}&4&\\ 3&\boxed{?}&2\\ &1&\\ \cline{1-3}\end{array}$

So, $3^{1}+4^{2}+2^{3}+1^{4}$

$\quad=3+16+8+1$

$\quad=\bold{28}$

$:\implies$

$\quad\quad$$\begin{array}{|ccc|} \cline{1-3}&4&\\ 3&\boxed{\bold{28}}&2\\ &1&\\ \cline{1-3}\end{array}$

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