Three consecutive integers can be represented by the variable n, n+1 and n+2. if the sum of three consecutive integers is 57, what are the integers? i am confused with what it is asking.

You have some unknown integer , and you know that adding this and the next two integers, and , gives a total of 57.

This means



The task is to find all three unknown integers. Notice that if you know the value of , then you pretty much know the value of the other three integers.

To find , solve the equation above:



So if 18 is the first integer, then others must be 19 and 20.