
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 30 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. Additionally, Dick's age must be at least 35 years old $n$ years from now. The ages will have the property that Jane's age in $n$ years is obtained by interchanging the digits of Dick's age in $n$ years. Let $d$ be Dick's present age. Determine how many ordered pairs of positive integers $(d,n)$ are possible where Jane's age in $n$ years is $10a+b$, and Dick's age is $10b+a$.

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