Answer: The divided parts are 10, 20 and 90.
Step-by-step explanation: We are given to divide 120 in the ratio 1 : 2 : 9.
Let the required parts be 1x, 2x and 9x.
Then, according to the given information, we have

Therefore, we get
First part = 1 × 10 = 10,
second part = 2 × 10 = 20
and
third part = 9 × 10 = 90.
Thus, the divided parts are 10, 20 and 90.