What three numbers have an average of 958?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 958. This means if we add these three numbers together and divide by 3, we should get 958.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 958 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 958 * 3 = x + y + z
- So, the sum of our three numbers should be: 2874
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2874.
Solution 1:
958, 958, 958
Verification:
(958 + 958 + 958) / 3 = 2874 / 3 ≈ 958
This solution is correct!
Solution 2:
958, 958, 958
Verification:
(958 + 958 + 958) / 3 = 2874 / 3 ≈ 958
This solution is correct!
Solution 3:
1616, 909, 349
Verification:
(1616 + 909 + 349) / 3 = 2874 / 3 ≈ 958
This solution is correct!
Solution 4:
107, 159, 2608
Verification:
(107 + 159 + 2608) / 3 = 2874 / 3 ≈ 958
This solution is correct!
Solution 5:
1805, 627, 442
Verification:
(1805 + 627 + 442) / 3 = 2874 / 3 ≈ 958
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 2874 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.