What three numbers have an average of 933?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 933. This means if we add these three numbers together and divide by 3, we should get 933.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 933 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 933 * 3 = x + y + z
- So, the sum of our three numbers should be: 2799
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2799.
Solution 1:
933, 933, 933
Verification:
(933 + 933 + 933) / 3 = 2799 / 3 ≈ 933
This solution is correct!
Solution 2:
933, 933, 933
Verification:
(933 + 933 + 933) / 3 = 2799 / 3 ≈ 933
This solution is correct!
Solution 3:
1294, 1004, 501
Verification:
(1294 + 1004 + 501) / 3 = 2799 / 3 ≈ 933
This solution is correct!
Solution 4:
2438, 17, 344
Verification:
(2438 + 17 + 344) / 3 = 2799 / 3 ≈ 933
This solution is correct!
Solution 5:
1289, 128, 1382
Verification:
(1289 + 128 + 1382) / 3 = 2799 / 3 ≈ 933
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 2799 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.