What three numbers have an average of 673?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 673. This means if we add these three numbers together and divide by 3, we should get 673.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 673 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 673 * 3 = x + y + z
- So, the sum of our three numbers should be: 2019
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2019.
Solution 1:
673, 673, 673
Verification:
(673 + 673 + 673) / 3 = 2019 / 3 ≈ 673
This solution is correct!
Solution 2:
673, 673, 673
Verification:
(673 + 673 + 673) / 3 = 2019 / 3 ≈ 673
This solution is correct!
Solution 3:
129, 166, 1724
Verification:
(129 + 166 + 1724) / 3 = 2019 / 3 ≈ 673
This solution is correct!
Solution 4:
1979, 35, 5
Verification:
(1979 + 35 + 5) / 3 = 2019 / 3 ≈ 673
This solution is correct!
Solution 5:
593, 845, 581
Verification:
(593 + 845 + 581) / 3 = 2019 / 3 ≈ 673
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 2019 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.