
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 age and Jane's age will be two-digit numbers and will fulfill the condition that Jane's age can be obtained by interchanging the digits of Dick's age. Assuming the age difference between Jane and Dick remains the same over the years, determine how many ordered pairs of positive integers $(d,n)$ are possible, where $d$ is Dick's current age.

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