Give five examples of numbers, each one of which is divisble by 3 but not divisible by 9.

Answer

To solve the problem of finding five examples of numbers that are divisible by 3 but not divisible by 9, we can follow these steps:

### Step 1: Understand the conditions
We need to find numbers that meet two conditions:
1. The number must be divisible by 3.
2. The number must not be divisible by 9.

### Step 2: Identify numbers divisible by 3
A number is divisible by 3 if the sum of its digits is divisible by 3. We can start by listing some multiples of 3:
- 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

### Step 3: Check for divisibility by 9
A number is divisible by 9 if the sum of its digits is divisible by 9. We will check each multiple of 3 to see if it is also divisible by 9.

### Step 4: List the numbers
Let's check the first few multiples of 3:
- **3**: Divisible by 3, but also divisible by 9 (3 is not a valid example).
- **6**: Divisible by 3, but not by 9 (valid example).
- **9**: Divisible by 3 and also by 9 (not valid).
- **12**: Divisible by 3, but not by 9 (valid example).
- **15**: Divisible by 3, but not by 9 (valid example).
- **18**: Divisible by 3 and also by 9 (not valid).
- **21**: Divisible by 3, but not by 9 (valid example).
- **24**: Divisible by 3, but not by 9 (valid example).
- **27**: Divisible by 3 and also by 9 (not valid).
- **30**: Divisible by 3, but not by 9 (valid example).

### Step 5: Compile the final list
From our checks, we can compile the following five examples:
1. 6
2. 12
3. 15
4. 21
5. 24

### Final Answer
The five examples of numbers that are divisible by 3 but not divisible by 9 are: **6, 12, 15, 21, and 24.**

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