What three numbers have an average of 259?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 259. This means if we add these three numbers together and divide by 3, we should get 259.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 259 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 259 * 3 = x + y + z
- So, the sum of our three numbers should be: 777
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 777.
Solution 1:
259, 259, 259
Verification:
(259 + 259 + 259) / 3 = 777 / 3 ≈ 259
This solution is correct!
Solution 2:
259, 259, 259
Verification:
(259 + 259 + 259) / 3 = 777 / 3 ≈ 259
This solution is correct!
Solution 3:
94, 230, 453
Verification:
(94 + 230 + 453) / 3 = 777 / 3 ≈ 259
This solution is correct!
Solution 4:
739, 18, 20
Verification:
(739 + 18 + 20) / 3 = 777 / 3 ≈ 259
This solution is correct!
Solution 5:
627, 80, 70
Verification:
(627 + 80 + 70) / 3 = 777 / 3 ≈ 259
This solution is correct!
Explanation:
As you can see, there are many possible solutions. We can find more by:
- Choosing any two numbers
- Subtracting their sum from 777 to get the third number
Remember:
- The numbers don't have to be whole numbers.
- They can even be negative (although that might not make sense in some real-world contexts).
- The order of the numbers doesn't matter for the average.