
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
On the road between cities A and B, there are poles with numbers indicating the distance to city A and the distance to city B. A tourist walking from one city to another saw a pole where one of the numbers was three times the other. After walking 40 kilometers from the first pole, he saw another pole where one number was three times the other. He walked another 10 kilometers and saw another pole. What is the ratio of the larger number to the smaller number on this pole?

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