
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 27 years old. Dick is older than Jane. In $n$ years, where $n$ is a positive integer, Dick's age and Jane's age will both be two-digit numbers. Furthermore, Jane's age is obtained by interchanging the digits of Dick's age and the sum of these digits (in years from now) is a prime number. Let $d$ be Dick's present age. Find all possible pairs of positive integers $(d, n)$ that satisfy given conditions.

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