Math Problem Statement

The sum of three consecutive even numbers is 258. Which of the following is the least number?

Solution

Let the three consecutive even numbers be represented as xx, x+2x + 2, and x+4x + 4. The equation based on their sum is:

x+(x+2)+(x+4)=258x + (x + 2) + (x + 4) = 258

Simplifying this, we get:

3x+6=2583x + 6 = 258

Subtract 6 from both sides:

3x=2523x = 252

Now, divide by 3:

x=84x = 84

Thus, the three consecutive even numbers are 8484, 8686, and 8888. The least number is:

84\boxed{84}

If you have any questions or need further details, let me know! Here are some related questions you might consider:

  1. What are the next three consecutive even numbers after 88?
  2. How would the problem change if the sum was 300 instead of 258?
  3. Can you find the sum of three consecutive odd numbers?
  4. What is the relationship between consecutive even and odd numbers?
  5. How can you represent consecutive integers mathematically?

Tip: To solve problems involving consecutive numbers, always express them in terms of a variable and set up an equation based on their relationships.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Consecutive Numbers
Linear Equations

Formulas

Sum of consecutive even numbers formula: x + (x + 2) + (x + 4)

Theorems

-

Suitable Grade Level

Grades 6-8