
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Three years ago, Tom was five times as old as his sister Lily. Five years before that, Tom was six times as old as Lily. In how many years will the ratio of their ages be $3$ : $1$?
A) 14
B) 16
C) 18
D) 22
E) 24

Present the answer in LaTex format: \boxed{Your answer}
user