Answer:
Let's call the first integer x, and therefore, the second and third integers would be x + 1 and x + 2 respectively since they are consecutive. Since their sum is 270 we can write:
x + x + 1 + x + 2 = 270
3x + 3 = 270
3x = 267
x = 89 which means that the answer is 89, 90, 91.
