
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
The teacher wrote two numbers on the board one below the other and called Adam to add them. Adam correctly added them, and the result 39 was written below the numbers. The teacher then erased the top number, leaving the remaining two numbers to form a new addition problem. This time, Bára wrote the correct result below the numbers. The teacher erased the top number again, and the newly formed addition problem was correctly solved by Čeněk, resulting in 96.

Determine the two numbers that were originally written on the board.

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