
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
By adding the same number to the numerator and denominator of the fraction \(\frac{11}{41}\), Ira obtained \(\frac{3}{8}\) after simplification. Olya, by subtracting a certain number from the numerator of the fraction \(\frac{37}{63}\) and adding the same number to the denominator, obtained \(\frac{3}{17}\). What numbers did the girls add and subtract?

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