
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, Sam was four times as old as his brother Tim. Six years before that, Sam was five times as old as Tim. Find the number of years after which the ratio of their ages will be 3 : 1.

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