
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
(This question is worth 9 points) A master and his apprentice are assembling 28 motorcycles separately. The apprentice, working alone for a week (7 days), cannot finish the task, while the master can complete it in less than a week. It is known that the master assembles 2 more motorcycles per day on average than the apprentice. Find:  
(1) How many motorcycles does the apprentice assemble on average per day (answer in whole numbers)?  
(2) If the apprentice starts working 2 days before the master, how many days must the master work for both to have assembled the same number of motorcycles?

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