
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 \(x\) and \(y\) be two natural numbers each with two digits, and let \(x < y\). Their product \(xy\) is a four-digit number. The first digit of this product is 2. If this leading digit 2 is removed, the remaining number is exactly \(x + y\). For example, if \(x = 30\) and \(y = 70\); apart from this, there is another pair of numbers with the same property. Determine these two numbers.

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