
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  $A$  be a  $3$ -digit positive integer and  $B$  be the positive integer that comes from  $A$  be replacing with each other the digits of hundreds with the digit of the units. It is also given that  $B$  is a  $3$ -digit number.
Find numbers  $A$  and  $B$  if it is known that  $A$  divided by  $B$  gives quotient  $3$  and remainder equal to seven times the sum of it's digits.

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