Math Problem Statement
While calculating the average of 1st 3 positive numbers , one number was missed out and the average of remaining numbers was found to be 9 . Find the missing number
Solution
Let's denote the first three positive numbers as .
The sum of these numbers is:
Now, it's given that one of these numbers was missed, and the average of the remaining two numbers is 9. Let the missing number be .
The sum of the remaining two numbers (after missing one) is:
The average of the two remaining numbers is given as 9, so we can set up the equation for the average:
Multiplying both sides of the equation by 2:
Solving for :
Therefore, the missing number is .
Would you like further clarification on any part of the solution, or need help with additional questions?
Here are 5 related questions for practice:
- What is the average of the first 5 positive numbers?
- If the average of 3 numbers is 10, what is their total sum?
- How would the average change if a number larger than 3 is added to the first three positive numbers?
- What is the sum of the first 100 positive integers?
- How do you find the median of a set of numbers?
Tip: Always check the problem carefully for clues on how many numbers are being averaged or missed, as it affects how you set up the equation.
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Math Problem Analysis
Mathematical Concepts
Averages
Algebra
Equations
Formulas
Average formula: sum of elements / number of elements
Basic equation solving
Theorems
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Suitable Grade Level
Grades 6-8