The sum of 3 consecutive integers is 72 find the integers
Accepted Solution
A:
----------------------------------------- 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. ----------------------------------------------------------------------------------