### Instruction: The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?
Answer Choices: (A) 29 (B) 70 (C) 92 (D) Cannot be determined (E) None of these.### Response: Let's think about the multi-choice question.
Let the ten's digit be x and units digit by y.
Then,
(10x + y) - (10y + x) = 63
9(x - y) = 63
x - y = 7
Thus, none of the numbers can be determined.
The answer is D