Let the smallest number be ‘x’.
Since we are considering three consecutive numbers, the other two numbers will be x+1 and x+2.
So, x+(x+1)+(x+2)=39
⇒ 3x+3=39
⇒ 3x+3−3=39−3
⇒ 3x=36
⇒ x=363
⇒ x=12
Thus, the three consecutive numbers are 12, 12+1, and 12+2.
So, 12, 13, and 14 are the required numbers.