The sum of three consecutive integers is 1,623

Well to solve this you write out three equations

x + (x+1) + (x+2) = 1623

then

3x=1620

x=540

so the three consecutive integers are 540,541, and 542.

Set the unknown integer to x. Since they are consecutive integers the next will be x+1 and the next x+2. So

x + x+1 + x+2 = 1623

3x + 3 = 1623

3x = 1620

x = 540

x+1 = 541

x+2 = 542

The consecutive integers are 540, 541, and 542.