The sum of 3 consecutive integers is 72 find the integers

Define x :

Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.


Construct Equation :

Sum of these numbers is 72
⇒ x + x + 1 + x + 2 = 72


Solve for x :

x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23


Find the numbers :

1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25


Answer : The numbers are 23, 24 and 25.