
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
Let these numbers be A and B. Let B be the smallest of these numbers. Then the greater number is $A=10B+n$, where $n$ is the crossed-out digit, and $0 \leq n \leq 9$. According to the condition, $A+B = 11B + n = 2022$. Hence, $n$ is the remainder when 2022 is divided by 11, giving $n = 9$. We get $B = 183$ and $A = 1839$.

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