
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
A man is twice as old as his wife was when the man was as old as his wife is now. The number of years of both the husband and wife, as well as their total, are of the form "aa." How old are the husband and wife?

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