What three numbers have an average of 483?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 483. This means if we add these three numbers together and divide by 3, we should get 483.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 483 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 483 * 3 = x + y + z
- So, the sum of our three numbers should be: 1449
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1449.
Solution 1:
483, 483, 483
Verification:
(483 + 483 + 483) / 3 = 1449 / 3 ≈ 483
This solution is correct!
Solution 2:
483, 483, 483
Verification:
(483 + 483 + 483) / 3 = 1449 / 3 ≈ 483
This solution is correct!
Solution 3:
624, 612, 213
Verification:
(624 + 612 + 213) / 3 = 1449 / 3 ≈ 483
This solution is correct!
Solution 4:
1395, 2, 52
Verification:
(1395 + 2 + 52) / 3 = 1449 / 3 ≈ 483
This solution is correct!
Solution 5:
42, 1363, 44
Verification:
(42 + 1363 + 44) / 3 = 1449 / 3 ≈ 483
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 1449 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.