
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 $x$ be the tens digit of the two-digit number. If $y$ is the units digit, then $x + y = 8$. If $36$ is subtracted from the two-digit number, the result is $10x + y - 36$. This is equal to the two-digit number $10y + x$ formed by swapping the tens and units digits. What is the value of the two-digit number?

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