There are no three consecutive even numbers that add up to 243. Here's why:
- Even numbers are divisible by 2: This means they follow a pattern of +2. For example, 2, 4, 6, 8, and so on.
- Consecutive even numbers: These are even numbers that follow each other in sequence, like 10, 12, 14.
- Sum of consecutive even numbers: When you add consecutive even numbers, the result is always divisible by 6.
To illustrate this, let's consider an example:
- 10 + 12 + 14 = 36
- 36 is divisible by 6.
Since 243 is not divisible by 6, it is impossible to find three consecutive even numbers that add up to 243.
