
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
Mr. Tik and Mr. Tak were selling alarm clocks at the shops "Před Rohem" and "Za Rohem". Mr. Tik stated that they sold 30 more alarm clocks at "Před Rohem" than at "Za Rohem", while Mr. Tak claimed that they sold three times as many alarm clocks at "Před Rohem" than at "Za Rohem". It turned out that both Tik and Tak were correct. How many alarm clocks did they sell in total at both shops?

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