What three numbers have an average of 844?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 844. This means if we add these three numbers together and divide by 3, we should get 844.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 844 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 844 * 3 = x + y + z
- So, the sum of our three numbers should be: 2532
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2532.
Solution 1:
844, 844, 844
Verification:
(844 + 844 + 844) / 3 = 2532 / 3 ≈ 844
This solution is correct!
Solution 2:
844, 844, 844
Verification:
(844 + 844 + 844) / 3 = 2532 / 3 ≈ 844
This solution is correct!
Solution 3:
2441, 65, 26
Verification:
(2441 + 65 + 26) / 3 = 2532 / 3 ≈ 844
This solution is correct!
Solution 4:
451, 321, 1760
Verification:
(451 + 321 + 1760) / 3 = 2532 / 3 ≈ 844
This solution is correct!
Solution 5:
941, 254, 1337
Verification:
(941 + 254 + 1337) / 3 = 2532 / 3 ≈ 844
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 2532 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.