Let the three consecutive even numbers be $x$, $x+2$, and $x+4$.

Step 1: Set up the equation

The sum of these numbers is given as 276: $x + (x+2) + (x+4) = 276$

Step 2: Simplify the equation

Combine like terms: $3x + 6 = 276$

Step 3: Solve for $x$

Subtract 6 from both sides: $3x = 270$

Divide by 3: $x = 90$

Step 4: Find the three numbers

• The first number is $x = 90$.
• The second number is $x+2 = 92$.
• The third number is $x+4 = 94$.

Final Answer:

The three consecutive even numbers are 90, 92, and 94.

Would you like additional explanations or further examples?

Here are 5 related questions:

1. What if the sum was 300 instead of 276?
2. How do we find three consecutive odd numbers with a given sum?
3. Can this method be applied to find five consecutive even numbers with a sum of 500?
4. What if the numbers were consecutive multiples of 3 instead of even numbers?
5. How can we verify the answer to ensure accuracy?

Tip: When dealing with consecutive numbers, use a variable plus increments (like $x, x+2, x+4$) to simplify equations.