Find three consecutive integers whose sum is one hundred and twenty three?

Answer 1

You are told that:
a + b + c = 123
You are also told that:
b = a + 1
c = a + 2

Therefore:
a + (a + 1) + (a + 2) = 123
3a + 3 = 123
3a = 120
a = 40

Therefore, the numbers are 40, 41 and 42.