What three numbers have an average of 938?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 938. This means if we add these three numbers together and divide by 3, we should get 938.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 938 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 938 * 3 = x + y + z
- So, the sum of our three numbers should be: 2814
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2814.
Solution 1:
938, 938, 938
Verification:
(938 + 938 + 938) / 3 = 2814 / 3 ≈ 938
This solution is correct!
Solution 2:
938, 938, 938
Verification:
(938 + 938 + 938) / 3 = 2814 / 3 ≈ 938
This solution is correct!
Solution 3:
655, 1430, 729
Verification:
(655 + 1430 + 729) / 3 = 2814 / 3 ≈ 938
This solution is correct!
Solution 4:
125, 1648, 1041
Verification:
(125 + 1648 + 1041) / 3 = 2814 / 3 ≈ 938
This solution is correct!
Solution 5:
486, 13, 2315
Verification:
(486 + 13 + 2315) / 3 = 2814 / 3 ≈ 938
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 2814 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.