Question

In a certain test, the number of successful candidates was three times than that of unsuccessful candidates . If there had been $16$ fewer candidates and if $6$ more would have been unsuccessful, then number would have been as $2$ to $1$. Find the number of candidates.

Answer 1

$So{l}^n-$

Let unsuccessful candidate $=x$

then successful person $=3x$

total candidate $=4x$

According to Question now remaining

$4x-16$ candidate.

now, unsuccessful candidate $=x-4$

successful candidate $=3x-12$

if we add 6 more unsuccessful candidate

$\Rightarrow x+2$ unsuccessful candidate

$\Rightarrow$ According to Question:

$2(x+2)=3x-12$

$\Rightarrow 2x+4=3x-12$

$\Rightarrow x=16$

$\Rightarrow$ total candidate$=4x$

$4\times 16=64$

so Ans $=64$