
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
According to the operation situation, the company adjusted the selling price of a certain product in two places, A and B, as follows: the price in place A increased by $10\%$, and the price in place B decreased by $5$ dollars. It is known that before the adjustment, the price in place A was $10$ dollars less than in place B, and after the adjustment, the price in place A was $1$ dollar less than in place B. Find the selling prices of the product in places A and B before the adjustment.

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