Question

A number is multiplied by $2\frac{1}{3}$ times itself and then $61$ is subtracted from the product obtained. If the final result is $9200$, then the number is __________.

• A. $36$
• B. $63$
• C. $67$
• D. $37$

Answer 1

Answer: (B)

$63$

Let the number is $x$

According to given question, we have

$x\times \frac{7x}{3}-61=9200$

$\Rightarrow \frac{7x^2}{3}=9261$

$\Rightarrow x^2=9261\times \frac{3}{7}$
$\Rightarrow x^2=3969$

$\Rightarrow x=\sqrt{3969}$

$\Rightarrow x=63$