
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 25 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 number and will have the property that Jane's age is obtained by interchanging the digits of Dick's age.  Let  $d$  be Dick's present 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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