
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, Ted was four times as old as his younger brother Alex. Five years ago, Ted was five times as old as Alex. Determine the number of years it will take for the ratio of their ages to be 3:1.

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