
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
A group of boys and girls is waiting at a bus stop. In the first bus that passes, only 15 girls board, and 2 boys remain for each girl at the bus stop. In the second bus that passes, only 45 boys board, and 5 girls remain for each boy at the bus stop. Determine the number of boys and girls that were at the bus stop before the first bus arrived.

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