Let’s break down the components of your three-digit number based on the information provided.
1. The hundreds digit is given as 2. This means our number starts with ‘2’ and looks like this: 2XY, where ‘X’ is the tens digit and ‘Y’ is the ones digit.
2. According to the second part of the statement, the tens digit (X) is 9 more than the ones digit (Y). We can express this relationship as: X = Y + 9.
3. Since the tens digit (X) must be a single digit (0-9), we can analyze this relationship further: if Y is the ones digit, the least value Y can take is 0. Thus, if we plug in some values:
- If Y = 0, then X = 9, giving us the number 290.
- If Y = 1, then X = 10, which is not a valid single-digit number.
4. The only possible and valid combination therefore is when Y = 0 and X = 9. This leads us to the solution:
The number is 290.
Hence, the only three-digit number that meets your criteria is 290, where the hundreds digit is 2, the tens digit is 9, and the ones digit is 0.