What three numbers have an average of 621?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 621. This means if we add these three numbers together and divide by 3, we should get 621.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 621 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 621 * 3 = x + y + z
- So, the sum of our three numbers should be: 1863
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1863.
Solution 1:
621, 621, 621
Verification:
(621 + 621 + 621) / 3 = 1863 / 3 ≈ 621
This solution is correct!
Solution 2:
621, 621, 621
Verification:
(621 + 621 + 621) / 3 = 1863 / 3 ≈ 621
This solution is correct!
Solution 3:
1137, 470, 256
Verification:
(1137 + 470 + 256) / 3 = 1863 / 3 ≈ 621
This solution is correct!
Solution 4:
1747, 37, 79
Verification:
(1747 + 37 + 79) / 3 = 1863 / 3 ≈ 621
This solution is correct!
Solution 5:
1171, 9, 683
Verification:
(1171 + 9 + 683) / 3 = 1863 / 3 ≈ 621
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 1863 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.