What three numbers have an average of 482?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 482. This means if we add these three numbers together and divide by 3, we should get 482.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 482 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 482 * 3 = x + y + z
- So, the sum of our three numbers should be: 1446
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1446.
Solution 1:
482, 482, 482
Verification:
(482 + 482 + 482) / 3 = 1446 / 3 ≈ 482
This solution is correct!
Solution 2:
482, 482, 482
Verification:
(482 + 482 + 482) / 3 = 1446 / 3 ≈ 482
This solution is correct!
Solution 3:
1014, 211, 221
Verification:
(1014 + 211 + 221) / 3 = 1446 / 3 ≈ 482
This solution is correct!
Solution 4:
302, 149, 995
Verification:
(302 + 149 + 995) / 3 = 1446 / 3 ≈ 482
This solution is correct!
Solution 5:
793, 256, 397
Verification:
(793 + 256 + 397) / 3 = 1446 / 3 ≈ 482
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 1446 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.