State True or False.
Successor of a two digit number is always a two digit number.

Answer

To determine whether the statement "The successor of a two-digit number is always a two-digit number" is true or false, we can follow these steps:

### Step 1: Understand what a two-digit number is
A two-digit number is any number that ranges from 10 to 99.

### Step 2: Define the term "successor"
The successor of a number is the number that comes immediately after it. For example, the successor of 5 is 6.

### Step 3: Find the successor of a two-digit number
Let's take a two-digit number as an example. We can choose 99, which is the largest two-digit number.

### Step 4: Calculate the successor of 99
The successor of 99 is calculated as follows:
99 + 1 = 100

### Step 5: Determine the number of digits in the successor
Now, we need to check how many digits are in the number 100. The number 100 has three digits.

### Step 6: Conclusion
Since the successor of the two-digit number 99 is a three-digit number (100), we can conclude that the statement "The successor of a two-digit number is always a two-digit number" is false.

### Final Answer
**False**

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