What three numbers have an average of 739?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 739. This means if we add these three numbers together and divide by 3, we should get 739.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 739 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 739 * 3 = x + y + z
- So, the sum of our three numbers should be: 2217
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2217.
Solution 1:
739, 739, 739
Verification:
(739 + 739 + 739) / 3 = 2217 / 3 ≈ 739
This solution is correct!
Solution 2:
739, 739, 739
Verification:
(739 + 739 + 739) / 3 = 2217 / 3 ≈ 739
This solution is correct!
Solution 3:
701, 1160, 356
Verification:
(701 + 1160 + 356) / 3 = 2217 / 3 ≈ 739
This solution is correct!
Solution 4:
1666, 230, 321
Verification:
(1666 + 230 + 321) / 3 = 2217 / 3 ≈ 739
This solution is correct!
Solution 5:
1816, 293, 108
Verification:
(1816 + 293 + 108) / 3 = 2217 / 3 ≈ 739
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 2217 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.