Question

What is the missing figure in the expression given below ?
$\frac{16}{7}\times \frac{16}{7}-\frac{⨂}{7}\times \frac{9}{7}+\frac{9}{7}+\frac{9}{7}=1$

• A. 1
• B. 7
• C. 4.57
• D. 37

Answer 1

The correct option is D 37

Let missing figure be $x$

$\frac{16}{7}\times \frac{16}{7}-\frac{x}{7}\times \frac{9}{7}+\frac{9}{7}+\frac{9}{7}=1$

$\Rightarrow$ $\frac{16\times 16}{7\times 7}-\frac{x\times 9}{7\times 7}+\frac{9+9}{7}=1$

$\Rightarrow$ $\frac{256}{49}-\frac{9x}{49}+\frac{18}{7}=1$

$\Rightarrow$ $\frac{256}{49}-\frac{9x}{49}+\frac{126}{49}=1$

$\Rightarrow$ $\frac{256-9x+126}{49}=1$

$\Rightarrow$ $\frac{382-9x}{49}=1$

$\Rightarrow$ $382-9x=49$

$\Rightarrow$ $-9x=49-382$

$\Rightarrow$ $-9x=-333$

$\Rightarrow$ $x=\frac{333}{9}$

$\therefore$ $x=37$

$\therefore$ The missing figure in expression is $37$