The sum of three consecutive integers is 72. What is the smallest of three integers?

The sum of three consecutive integers is 72. What is the smallest of three integers?

Explanation

Let the three consecutive integers be  x+1, and  x+2.

According to the problem, their sum is 72:

x+(x+1)+(x+2)=72

Combine like terms

3x+3=72

Subtract 3 from both sides: 

3x=69

Divide by 3: 

x=23