
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
Jane is currently 30 years old. Dick is older than Jane. In $n$ years, where $n$ is a positive integer, both Dick's and Jane's ages will be two-digit numbers, and Dick's age will be obtained by interchanging the digits of Jane's age. Let $d$ be Dick's current age. How many ordered pairs of positive integers $(d, n)$ are possible?

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