I am a number between 1 and 10. My tenth digit is one more than my one digit; my hundredth digit is the sum of my one and tenths digits.

a.bc

a > 0
b = a+1
c = a+b

1.23, 2.35, 3.47, 4.59

Unless there are further conditions, just pick one.

To find the number you are describing, we can break it down step by step:

1. Start with a number between 1 and 10. Let's call this number "N."

2. The tenth digit is one more than the one digit. This means that the one digit is N, and the tenth digit is N + 1.

3. The hundredth digit is the sum of the one and tenth digits. So, the hundredth digit is N + (N + 1).

Now, we have enough information to determine the number you are describing. Let's simplify the expression:

N + (N + 1) = 2N + 1

Since the number you are describing is between 1 and 10, you can try replacing N with each possible value within that range and find which one satisfies the condition. Here are the options:

N = 1: 2(1) + 1 = 3
N = 2: 2(2) + 1 = 5
N = 3: 2(3) + 1 = 7
N = 4: 2(4) + 1 = 9
N = 5: 2(5) + 1 = 11 (Not within the range)

Based on this analysis, the number you are describing is 3.