What three numbers have an average of 481?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 481. This means if we add these three numbers together and divide by 3, we should get 481.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 481 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 481 * 3 = x + y + z
- So, the sum of our three numbers should be: 1443
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1443.
Solution 1:
481, 481, 481
Verification:
(481 + 481 + 481) / 3 = 1443 / 3 ≈ 481
This solution is correct!
Solution 2:
481, 481, 481
Verification:
(481 + 481 + 481) / 3 = 1443 / 3 ≈ 481
This solution is correct!
Solution 3:
117, 397, 929
Verification:
(117 + 397 + 929) / 3 = 1443 / 3 ≈ 481
This solution is correct!
Solution 4:
1162, 28, 253
Verification:
(1162 + 28 + 253) / 3 = 1443 / 3 ≈ 481
This solution is correct!
Solution 5:
432, 150, 861
Verification:
(432 + 150 + 861) / 3 = 1443 / 3 ≈ 481
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 1443 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.