What three numbers have an average of 954?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 954. This means if we add these three numbers together and divide by 3, we should get 954.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 954 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 954 * 3 = x + y + z
- So, the sum of our three numbers should be: 2862
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2862.
Solution 1:
954, 954, 954
Verification:
(954 + 954 + 954) / 3 = 2862 / 3 ≈ 954
This solution is correct!
Solution 2:
954, 954, 954
Verification:
(954 + 954 + 954) / 3 = 2862 / 3 ≈ 954
This solution is correct!
Solution 3:
2647, 110, 105
Verification:
(2647 + 110 + 105) / 3 = 2862 / 3 ≈ 954
This solution is correct!
Solution 4:
1861, 23, 978
Verification:
(1861 + 23 + 978) / 3 = 2862 / 3 ≈ 954
This solution is correct!
Solution 5:
2066, 368, 428
Verification:
(2066 + 368 + 428) / 3 = 2862 / 3 ≈ 954
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 2862 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.