What three numbers have an average of 859?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 859. This means if we add these three numbers together and divide by 3, we should get 859.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 859 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 859 * 3 = x + y + z
- So, the sum of our three numbers should be: 2577
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2577.
Solution 1:
859, 859, 859
Verification:
(859 + 859 + 859) / 3 = 2577 / 3 ≈ 859
This solution is correct!
Solution 2:
859, 859, 859
Verification:
(859 + 859 + 859) / 3 = 2577 / 3 ≈ 859
This solution is correct!
Solution 3:
2364, 45, 168
Verification:
(2364 + 45 + 168) / 3 = 2577 / 3 ≈ 859
This solution is correct!
Solution 4:
430, 91, 2056
Verification:
(430 + 91 + 2056) / 3 = 2577 / 3 ≈ 859
This solution is correct!
Solution 5:
760, 1359, 458
Verification:
(760 + 1359 + 458) / 3 = 2577 / 3 ≈ 859
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 2577 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.