Let X be a two-digit number and Y be another two-digit number formed by interchanging the digits of X. If (X + Y) is the greatest two-digit number, then what is the number of possible values of X?
A
2
B
4
C
6
D
8
Correct Answer: Option D
Explanation
1. **Formulate the Equation**: Let the number X be $10a + b$. Its reverse Y is $10b + a$.
The problem states their sum is the 'greatest two-digit number',