
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
During the summer, six grandchildren gathered at their grandmother's house, and we know the following about them:

- Martinka sometimes has to take care of her little brother Tomášek, who is 8 years younger than her.
- Věrka, who is 7 years older than Ida, loves to tell scary stories.
- Martinka often fights with Jaromír, who is 1 year younger than her.
- Tomášek is 11 years younger than Kačka.
- Ida often annoys her brother Jaromír, who is 4 years older than her.
- The boys are altogether 13 years old.

How old are all the mentioned children?

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