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What three consecutive even numbers whose sum is 243?

Published in Mathematics 1 min read

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.

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