What three numbers have an average of 955?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 955. This means if we add these three numbers together and divide by 3, we should get 955.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 955 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 955 * 3 = x + y + z
- So, the sum of our three numbers should be: 2865
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2865.
Solution 1:
955, 955, 955
Verification:
(955 + 955 + 955) / 3 = 2865 / 3 ≈ 955
This solution is correct!
Solution 2:
955, 955, 955
Verification:
(955 + 955 + 955) / 3 = 2865 / 3 ≈ 955
This solution is correct!
Solution 3:
1628, 760, 477
Verification:
(1628 + 760 + 477) / 3 = 2865 / 3 ≈ 955
This solution is correct!
Solution 4:
962, 974, 929
Verification:
(962 + 974 + 929) / 3 = 2865 / 3 ≈ 955
This solution is correct!
Solution 5:
1654, 300, 911
Verification:
(1654 + 300 + 911) / 3 = 2865 / 3 ≈ 955
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 2865 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.