The sum of three consecutive integers is 108. What are the integers?

The three consecutive integers are 35, 36, and 37

Step-by-step explanation:

108 = x + x + 1 + x + 2

add all like numbers

108 = 3x + 3

make the like numbers on one side only

108 - 3 = 3x + 3 - 3

105 = 3x

divide by 3

105/3 = 3x/3

35 = x

x + 1 = 35 + 1 - --36

x + 2 = 35 + 2 - --37

35, 36 and 37.

Step-by-step explanation:

Let the integers be x, x + 1 and x + 2. Then

x + x + 1 + x + 2 = 108

3x + 3 = 108

3x = 105

x = 35

So the numbers are 35, 36 and 37.