
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
Lenka is thinking of two two-digit numbers. One number has both digits even, and the other number has both digits odd. When she adds these two numbers, the result is again a two-digit number, which has an even first digit and an odd second digit. Additionally, Lenka revealed that all the two-digit numbers are multiples of three, and one of the three odd digits is 9. What numbers could Lenka be thinking of? Find all possibilities.

(V. Hucíková)

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