
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
Emily is 30 years old. Mark is older than Emily. In $n$ years, where $n$ is a positive integer such that $5 \leq n \leq 25$, Mark's age and Emily's age will both be two-digit numbers. Additionally, Emily's age will be obtained by interchanging the digits of Mark's age. Let $m$ be Mark's present age. How many ordered pairs of positive integers $(m,n)$ are possible?

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