What three numbers have an average of 956?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 956. This means if we add these three numbers together and divide by 3, we should get 956.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 956 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 956 * 3 = x + y + z
- So, the sum of our three numbers should be: 2868
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2868.
Solution 1:
956, 956, 956
Verification:
(956 + 956 + 956) / 3 = 2868 / 3 ≈ 956
This solution is correct!
Solution 2:
956, 956, 956
Verification:
(956 + 956 + 956) / 3 = 2868 / 3 ≈ 956
This solution is correct!
Solution 3:
1367, 1048, 453
Verification:
(1367 + 1048 + 453) / 3 = 2868 / 3 ≈ 956
This solution is correct!
Solution 4:
1618, 806, 444
Verification:
(1618 + 806 + 444) / 3 = 2868 / 3 ≈ 956
This solution is correct!
Solution 5:
1974, 196, 698
Verification:
(1974 + 196 + 698) / 3 = 2868 / 3 ≈ 956
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 2868 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.