Question

Divide $84$ into two parts such that ${\left(\frac{4}{17}\right)}^{th}$ of one part is equal to other part find the product of both the parts.

Answer 1

Given, $84$ is divided into two parts

Let one part be ${}^{\prime }{a}^{\prime }$

Then other part$=\frac{4}{17}\times a$ [given]

Sum of part$=84$

$a+\frac{4}{17}a=84$

$\frac{21a}{17}=84$

$a=68$

Product of both parts$=a\times \left(\frac{4}{17}a\right)$

$=\frac{4}{17}\times a^2$

$=\frac{4}{17}\times 68\times 68$

$=1088$.