
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
Four years ago, Liam was twice as old as his sister Mia. Six years before that, Liam was three times as old as Mia. Determine the number of years until the ratio of their ages will be 3:2.

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