Question

If the median of $\frac{x}{3},\frac{x}{2},\frac{x}{4},\frac{2x}{9}$ and $x$ is $5$, find the value of $x$.

• A. $10$
• B. $15$
• C. $20$
• D. $25$

Answer 1

Answer: (B)

$15$

$\Rightarrow$ The given numbers are $\frac{x}{3},\frac{x}{2},\frac{x}{4},\frac{2x}{9},x$

Arranging given numbers in ascending order,

$\frac{2x}{9},\frac{x}{4},\frac{x}{3},\frac{x}{2},x$

$\Rightarrow$ Now, here we can see $\frac{x}{3}$ is middle number.

According to the question,

$\therefore$ $\frac{x}{3}=5$

$\therefore$ $x=15$