
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 four times as old as his brother Jerry, and five years before that, Tom was five times as old as Jerry. Determine how many years from now the ratio of their ages will be $3 : 1$.

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