What three numbers have an average of 632?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 632. This means if we add these three numbers together and divide by 3, we should get 632.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 632 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 632 * 3 = x + y + z
- So, the sum of our three numbers should be: 1896
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1896.
Solution 1:
632, 632, 632
Verification:
(632 + 632 + 632) / 3 = 1896 / 3 ≈ 632
This solution is correct!
Solution 2:
632, 632, 632
Verification:
(632 + 632 + 632) / 3 = 1896 / 3 ≈ 632
This solution is correct!
Solution 3:
244, 841, 811
Verification:
(244 + 841 + 811) / 3 = 1896 / 3 ≈ 632
This solution is correct!
Solution 4:
1523, 315, 58
Verification:
(1523 + 315 + 58) / 3 = 1896 / 3 ≈ 632
This solution is correct!
Solution 5:
106, 984, 806
Verification:
(106 + 984 + 806) / 3 = 1896 / 3 ≈ 632
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 1896 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.