
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  $x, y$  be two positive integers, with  $x> y$ , such that  $2n = x + y$ , where n is a number two-digit integer. If  $\sqrt{xy}$  is an integer with the digits of  $n$  but in reverse order, determine the value of  $x - y$ 

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