REVERSEE...

Number Theory Level 3

Let there exist a two digit number 'n'.
The two digits are nonzero and distinct.
When the digits of n are reversed, let the new number formed be \(x. \)
When the digits of \( { n }^{ 2 } \) are reversed, the new number is equal to \( { x }^{ 2 }.\)
Find the smallest possible value of \(n\).

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