
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
Pat and Mat each had their own favorite natural number, but each a different one. They added, subtracted (smaller number from the larger one), multiplied, and divided (larger number by the smaller one) these numbers. When they summed up the obtained results, the total was 98.

What were Pat's and Mat's favorite numbers?

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