What three numbers have an average of 641?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 641. This means if we add these three numbers together and divide by 3, we should get 641.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 641 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 641 * 3 = x + y + z
- So, the sum of our three numbers should be: 1923
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1923.
Solution 1:
641, 641, 641
Verification:
(641 + 641 + 641) / 3 = 1923 / 3 ≈ 641
This solution is correct!
Solution 2:
641, 641, 641
Verification:
(641 + 641 + 641) / 3 = 1923 / 3 ≈ 641
This solution is correct!
Solution 3:
1664, 189, 70
Verification:
(1664 + 189 + 70) / 3 = 1923 / 3 ≈ 641
This solution is correct!
Solution 4:
1172, 168, 583
Verification:
(1172 + 168 + 583) / 3 = 1923 / 3 ≈ 641
This solution is correct!
Solution 5:
1857, 44, 22
Verification:
(1857 + 44 + 22) / 3 = 1923 / 3 ≈ 641
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 1923 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.