What three numbers have an average of 668?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 668. This means if we add these three numbers together and divide by 3, we should get 668.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 668 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 668 * 3 = x + y + z
- So, the sum of our three numbers should be: 2004
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2004.
Solution 1:
668, 668, 668
Verification:
(668 + 668 + 668) / 3 = 2004 / 3 ≈ 668
This solution is correct!
Solution 2:
668, 668, 668
Verification:
(668 + 668 + 668) / 3 = 2004 / 3 ≈ 668
This solution is correct!
Solution 3:
519, 1361, 124
Verification:
(519 + 1361 + 124) / 3 = 2004 / 3 ≈ 668
This solution is correct!
Solution 4:
591, 663, 750
Verification:
(591 + 663 + 750) / 3 = 2004 / 3 ≈ 668
This solution is correct!
Solution 5:
1219, 622, 163
Verification:
(1219 + 622 + 163) / 3 = 2004 / 3 ≈ 668
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 2004 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.