Math Problem Statement
Find three consecutive numbers whose sum is 84?
Solution
Let the three consecutive numbers be , , and .
The sum of these three numbers is given by the equation:
Simplifying this equation:
Subtract 3 from both sides:
Now, divide both sides by 3:
Thus, the three consecutive numbers are:
Their sum is:
Would you like further details or have any questions?
Here are five related questions:
- What would the numbers be if the sum was 120?
- How do you generalize the sum of any three consecutive numbers?
- Can you find four consecutive numbers whose sum is 110?
- What is the formula to find the sum of consecutive numbers?
- How would the solution change if the numbers were consecutive odd numbers?
Tip: To solve problems involving consecutive numbers, setting up an equation with variables is a reliable approach!
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 three consecutive numbers: x + (x+1) + (x+2) = sum
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Find Three Consecutive Numbers Whose Sum is 84
Find Natural Numbers Where One is 3 Times the Other and Their Sum is 84
Solving the Sum of Three Consecutive Numbers to Find the Total of 72
Find Three Consecutive Even Numbers with a Sum of 222
Find Three Consecutive Integers: Sum of First Two is 51 More Than Third