
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
Two years ago Pete was three times as old as his cousin Claire, and two years before that, Pete was four times as old as Claire. Determine the number of years until the ratio of their ages is 2 : 1.

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