Question 1163432
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There is not enough information given to find a unique answer.  The problem is defective.<br>
The difference between a 2-digit number and the number with the digits reversed is always 9 times the difference of the digits.  Given that the difference of the digits is 3, we already know that the difference between the two numbers will be 9*3 = 27 -- so the information that the difference between the two numbers is 27 is superfluous.<br>
But the only information given is those two dependent facts -- that the difference between the digits is 3 and the difference between the two numbers is 27.  There is no other information given, making it impossible to find a unique answer.<br>
Any 2-digit number with the tens digit 3 greater than the ones digit satisfies the given conditions.<br>