What three numbers have an average of 941?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 941. This means if we add these three numbers together and divide by 3, we should get 941.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 941 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 941 * 3 = x + y + z
- So, the sum of our three numbers should be: 2823
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2823.
Solution 1:
941, 941, 941
Verification:
(941 + 941 + 941) / 3 = 2823 / 3 ≈ 941
This solution is correct!
Solution 2:
941, 941, 941
Verification:
(941 + 941 + 941) / 3 = 2823 / 3 ≈ 941
This solution is correct!
Solution 3:
768, 77, 1978
Verification:
(768 + 77 + 1978) / 3 = 2823 / 3 ≈ 941
This solution is correct!
Solution 4:
2266, 366, 191
Verification:
(2266 + 366 + 191) / 3 = 2823 / 3 ≈ 941
This solution is correct!
Solution 5:
1878, 845, 100
Verification:
(1878 + 845 + 100) / 3 = 2823 / 3 ≈ 941
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 2823 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.