What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.  Choose the correct choice from the following choices:
A) I and II  B) II and III only  C) all  D) Even with all I, II and III, answer cannot be give.  E) I and either II or III
Let the tens and units digit be x and y respectively.   I. (10x + y) - (10y + x) x - y = 3.   II. x - y = 3.   III. x - y = 3.   Thus, even all the given three statements together do not give the answer.   Correct answer is (Even with all I, II and III, answer cannot be give.).
<result>D</result>
What is the two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.