The sum of three consecutive integers is 72. What are they?

Problem: Find three consecutive integers whose sum is $72$.

Steps

1. Define variables
   Let the first integer be $x$, the second be $x + 1$, and the third be $x + 2$.
2. Set up the equation
   $$x + (x + 1) + (x + 2) = 72$$
3. Combine like terms
   $$3x + 3 = 72$$
4. Subtract 3 from both sides
   $$3x = 69$$
5. Divide both sides by 3
   $$x = 23$$
6. Find the other two integers
   $$x + 1 = 24, \quad x + 2 = 25$$