A shop sold 14, 22, 9, $x$ and 30 umbrellas on five rainy days. The range of these sales is 25. What can $x$ be?

Explanation

1. 01

   Without x the values run from 9 to 30, a range of 21, so x must be a new extreme.

2. 02

   If x is the new smallest: $30 - x = 25$, so $x = 5$.

3. 03

   If x is the new largest: $x - 9 = 25$, so $x = 34$.

4. 04

   Both work, so x is 5 or 34.