What three numbers have an average of 444?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 444. This means if we add these three numbers together and divide by 3, we should get 444.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 444 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 444 * 3 = x + y + z
- So, the sum of our three numbers should be: 1332
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1332.
Solution 1:
444, 444, 444
Verification:
(444 + 444 + 444) / 3 = 1332 / 3 ≈ 444
This solution is correct!
Solution 2:
444, 444, 444
Verification:
(444 + 444 + 444) / 3 = 1332 / 3 ≈ 444
This solution is correct!
Solution 3:
1198, 65, 69
Verification:
(1198 + 65 + 69) / 3 = 1332 / 3 ≈ 444
This solution is correct!
Solution 4:
154, 567, 611
Verification:
(154 + 567 + 611) / 3 = 1332 / 3 ≈ 444
This solution is correct!
Solution 5:
117, 878, 337
Verification:
(117 + 878 + 337) / 3 = 1332 / 3 ≈ 444
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 1332 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.