Question

If $(5x+3):(3x+1)$ is the triplicate ratio of $4:3$, then $x=$ _____

• A. $57$
• B. $17$
• C. $\frac{17}{57}$
• D. $4$

Answer 1

Answer: (C)

$\frac{17}{57}$

The triplicate ratio of $4:3$ is $4^3:3^3$
$\therefore \frac{5x+3}{3x+1}=\frac{64}{27}$
$\Rightarrow 135x+81=192x+64$
$\Rightarrow 192x-135x=81-64$
$\Rightarrow 57x=17$
$\therefore x=\frac{17}{57}$