
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
It is known that the sum of two three-digit numbers, in which there are no repeating digits, equals a three-digit number with the following properties: the number of hundreds is between 5 and 7 (inclusive), the number of tens is odd, and the number of units is 1. In one of these addends, the tens digit equals 9, and in the other, the units digit equals 0. Find these numbers.

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