If the median of $$ \frac{x}{5}, x, \frac{x}{4}, \frac{x}{2}, $$ and $$ \frac{x}{3} $$ (where $$ x 0 $$) is 8, then the value of $$ x $$ will be:

Question

If the median of $$ \frac{x}{5}, x, \frac{x}{4}, \frac{x}{2}, $$ and $$ \frac{x}{3} $$ (where $$ x > 0 $$) is 8, then the value of $$ x $$ will be:

Accepted Answer

To find the value of $$ x $$:

1. **Arrange the terms in ascending order:**  
   The given terms are $$ \frac{x}{5}, x, \frac{x}{4}, \frac{x}{2}, \frac{x}{3} $$. Arrange them:  
   $$ 
   \frac{x}{5}, \frac{x}{4}, \frac{x}{3}, \frac{x}{2}, x.
   $$

2. **Identify the median:**  
   Since there are 5 terms, the median is the middle term, which is $$ \frac{x}{3} $$. It is given that:  
   $$ 
   \frac{x}{3} = 8.
   $$

3. **Solve for $$ x $$:**  
   Multiply both sides by 3:  
   $$ 
   x = 8 	imes 3 = 24.
   $$

Thus, the value of $$ x $$ is **24**.

Answer

Answer

Answer