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 , , and . The equation based on their sum is:
Simplifying this, we get:
Subtract 6 from both sides:
Now, divide by 3:
Thus, the three consecutive even numbers are , , and . The least number is:
If you have any questions or need further details, let me know! Here are some related questions you might consider:
- What are the next three consecutive even numbers after 88?
- How would the problem change if the sum was 300 instead of 258?
- Can you find the sum of three consecutive odd numbers?
- What is the relationship between consecutive even and odd numbers?
- 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