Consecutive integers are numbers that follow after each other. So 1,2,3,4,5 are consecutive integers
We need 3 consecutive integers that is 72. Note the word is means =
We can set this up like the following:
x + (x + 1) + (x+2) = 72
Now combine like terms
x +x + x = 3x
1 + 2 = 3
3x + 3 = 72
Solve for x
3x + 6 = 72
3x = 72 - 3
3x = 69
3x / 3 = 69 / 3
x = 23
Now that we have solved for the first x, which is 23, we plug this into (x + 1) and (x + 2) to solve the other numbers we need
x + (x + 1) + (x + 2) = 72
(x + 1) = (23 + 1) = 24
(x + 2) = (23 + 2) = 25
So we have the following:
x = 23
(x + 1) = (23 + 1) = 24
(x + 2) = (23 + 2) = 25
Our answers are 23, 24, 25, which are consecutive number and when you add them, they = 72