
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
Let the two-digit number be $10a + b$. The sum of the digits of $10a + b$ is $a + b$. The number obtained when this sum is subtracted from the two-digit number is $10a + b - (a + b) = 9a$. The units digit of $9a$ is $3$. How many two-digit numbers have this property?

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