
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
The sum of Mária's and Anna's ages is 44 years. Mária is twice as old as Anna was when Mária was half as old as Anna will be when Anna is three times as old as Mária was when Mária was three times as old as Anna. How old are Mária and Anna?

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