If the median of and , where x 0, is 8, find the value of x.

Question

If the median of and , where x > 0, is 8, find the value of x.

Philoid · Accepted Answer

Arranging the values x/5, x/4, x/2, x and x/3 in ascending order, we get

x/5, x/4, x/3, x/2 and x

Here, median is x/3 as it is the middle value amongst all values.

Given: median = 8

⇒ x/3 = 8

⇒ x = 24

Hence, x = 24