What is the value of the two-digit number? I. The total number of digits is seven. II. There is a nine-digit difference between the number and the number produced by swapping the digits. III. The digit in the tenth position is one digit larger than the digit in the first place.
A. I and II only
B. II and III only
C. I and III only
D. None of these
Answer:D
What is the value of the two-digit number? I. The total number of digits is seven. II. There is a nine-digit difference between the number and the number produced by swapping the digits. III. The digit in the tenth position is one digit larger than the digit in the first place.
A. I and II only B. II and III only C. I and III only D. None of these
Explanation: Let x and y be the tens and units digits, respectively.x + y = 7. I. x + y = 7.II. (10x + y) - (10y + x) = 9 x - y = 1 x - y = 1 ,x - y = 1 is the third condition.As a result, I and II, as well as I and III, provide the solution.