
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
Adam, Bořek, and Čenda compared how many kilograms of chestnuts they gathered. They found that the arithmetic mean of what Adam and Bořek collected is $10 \mathrm{~kg}$ more than Čenda's contribution. Furthermore, the arithmetic mean of what Adam and Čenda collected is $3 \mathrm{~kg}$ less than Bořek's contribution.

Determine the difference between the arithmetic mean of what Bořek and Čenda collected and Adam's contribution.

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