
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
How old am I?

Try to answer this question, knowing that Alfred's age is a permutation of the digits of my age, the quotient of dividing a number equal to my age by the sum of these two digits differs from the analogous quotient for Alfred by a number equal to the difference of these two digits, and finally, the product of these two quotients is exactly my age.

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