The sum of three consecutive integers is 75. Find the integers

Let the first integer be x

adding one to x (to represent the next integer) you get x + 1

adding two to x to get the next integer you get x + 2

the expression that represents three consecutive integers is x + (x + 1) + (x + 2)

Now we need to set this equal to 75 and solve.

x + (x + 1) + (x + 2) = 75

3x + 3 = 75

subtract 3 from both sides

3x + 3 - 3 = 75 - 3

3x = 72

to clear the multiplication by 3, divide both sides by 3

3x/3 = 72/3

x = 24

x + 1 = 25

x + 2 = 26

24, 25, 26 are the three integers