
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
There are 180 books in total on two shelves, one above the other. If 15 books are taken from the upper shelf and placed on the lower shelf, then the number of books on the lower shelf will be exactly twice the number on the upper shelf. How many books were originally on each shelf?

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