i am a 3 digit number the sum of my first two digits is 6 and the difference between my last two is zero my second digits is one half of my first and third  i am 3 of a kind what am i

Let's carefully analyze the puzzle step by step:

### Key Clues:
1. **Three-digit number**: The number is in the form \(abc\), where \(a\), \(b\), and \(c\) are digits.
2. **The sum of the first two digits is 6**: This gives us the equation \(a + b = 6\).
3. **The difference between the last two digits is zero**: This means \(b = c\).
4. **The second digit is one half of the first and third**: This means \(b = \frac{a}{2} = c\).
5. **The number is 3 of a kind**: All the digits must be equal.

### Step-by-Step Solution:

We need to solve for the digits \(a\), \(b\), and \(c\), given the constraints:
- \(b = c\),
- \(b = \frac{a}{2}\),
- \(a + b = 6\).

Since \(b = \frac{a}{2}\), substitute this into \(a + b = 6\):

\[
a + \frac{a}{2} = 6
\]

Multiply the entire equation by 2 to eliminate the fraction:

\[
2a + a = 12
\]
\[
3a = 12
\]
\[
a = 4
\]

Now that we know \(a = 4\), we can substitute it back into \(b = \frac{a}{2}\) to find \(b\):

\[
b = \frac{4}{2} = 2
\]

Since \(b = c\), we have \(c = 2\).

### Conclusion:

The three-digit number is **422**.

Would you like more details, or do you have any questions?

Here are 5 questions to explore further:

1. What if the sum of the first two digits was 7 instead of 6?
2. Can you form a different puzzle with similar rules but a different number?
3. How would this puzzle change if the second digit was twice the first digit instead of half?
4. Can this problem be solved using a different method, like guessing and checking?
5. What is the importance of carefully interpreting the given conditions in puzzles?

**Tip:** When solving puzzles, always write down each clue and convert them into equations or inequalities. This systematic approach will help you stay organized and avoid errors.

i am a 3 digit number the sum of my first two digits is 6 and the difference between my last two is zero my second digits is one half of my first and third i am 3 of a kind what am i

Solve this intriguing three-digit number puzzle, where the sum of the first two digits is 6, and the second digit is half of the first and third. Learn how to use algebraic equations to determine the solution. Ideal for students in Grades 6-8.

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