79, 80, 81. The middle of the 3 integers can be represented as x. Since these are consecutive integers one will be one higher and the other will be one lower. So the other numbers can be expressed as x + 1 and x -1. Sum indicates addition of the integers so we can add our variable representations of them and set it equal to 240. x + x + 1 + x -1 = 240. Simplify by combining like terms. The positive and negative 1s cancel out. 3x = 240. Divide each side by 3. 240/3 = 80. X=80Remember that the number below 80 is one less or 79. Above 80 the number is one unit greater or 81. The integers are: 79, 80, 81.

Let three numbers are x,x+1,x+2

x+x+1+x+2=240

3x+3=240

3x=237

x=79

then, numbers are 79,80,81

x+x+1+x+2=240

3x+3=240

3x=237

x=79

then, numbers are 79,80,81

Let the three consecutive numbers are :- x, (x+1), (x+2)

then, x+x+1+x+2 = 240

3x+3 = 240

3x = 237

x = 79

then, numbers are : 79, 80, 81

then, x+x+1+x+2 = 240

3x+3 = 240

3x = 237

x = 79

then, numbers are : 79, 80, 81