
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
Two two-digit numbers $X$ and $Y$ are given. It is known that $X$ is twice $Y$ and one digit of $Y$ is equal to the sum, and the other digit is equal to the difference of the digits of $X$.

Find these numbers.

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