What three numbers have an average of 943?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 943. This means if we add these three numbers together and divide by 3, we should get 943.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 943 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 943 * 3 = x + y + z
- So, the sum of our three numbers should be: 2829
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2829.
Solution 1:
943, 943, 943
Verification:
(943 + 943 + 943) / 3 = 2829 / 3 ≈ 943
This solution is correct!
Solution 2:
943, 943, 943
Verification:
(943 + 943 + 943) / 3 = 2829 / 3 ≈ 943
This solution is correct!
Solution 3:
2384, 31, 414
Verification:
(2384 + 31 + 414) / 3 = 2829 / 3 ≈ 943
This solution is correct!
Solution 4:
1290, 394, 1145
Verification:
(1290 + 394 + 1145) / 3 = 2829 / 3 ≈ 943
This solution is correct!
Solution 5:
2799, 8, 22
Verification:
(2799 + 8 + 22) / 3 = 2829 / 3 ≈ 943
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 2829 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.