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:
1260, 1001, 316
Verification:
(1260 + 1001 + 316) / 3 = 2577 / 3 ≈ 859
This solution is correct!
Solution 4:
1075, 1276, 226
Verification:
(1075 + 1276 + 226) / 3 = 2577 / 3 ≈ 859
This solution is correct!
Solution 5:
1451, 610, 516
Verification:
(1451 + 610 + 516) / 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.