
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
In 6 years, my father will be 3 times as old as I was when my father's age was equal to the sum of my age and my sister's age at that time. My current age is the same as my father's age was then. In 19 years, my father will be twice as old as my sister is today. How old are these three people today?

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