A number is divided into two parts in the ratio $6:13.$ If the second part is $65,$ then find the number.

The correct option is B: $95$

Given ratio $=6:13$

so the first and second part of the given number will be $6x$ and $13x$ respectively.

Second part is given as $65.$

$\therefore 13x=65$

$\Rightarrow x=\frac{65}{13}$

$\Rightarrow x=5$

The first part $=6x=6\times 5=30$

Hence, the given number is $(65+30=95)$