One-fourth of a number is 18 more than one-sixth of the same number. What is the number?

Explanation

1. 01

   $\frac{x}{4} - \frac{x}{6} = 18$.

2. 02

   LCM of 4 and 6 is 12: $\frac{3x - 2x}{12} = \frac{x}{12} = 18$.

3. 03

   $x = 216$. Check: $54 - 36 = 18$.