What three numbers have an average of 953?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 953. This means if we add these three numbers together and divide by 3, we should get 953.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 953 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 953 * 3 = x + y + z
- So, the sum of our three numbers should be: 2859
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2859.
Solution 1:
953, 953, 953
Verification:
(953 + 953 + 953) / 3 = 2859 / 3 ≈ 953
This solution is correct!
Solution 2:
953, 953, 953
Verification:
(953 + 953 + 953) / 3 = 2859 / 3 ≈ 953
This solution is correct!
Solution 3:
1001, 910, 948
Verification:
(1001 + 910 + 948) / 3 = 2859 / 3 ≈ 953
This solution is correct!
Solution 4:
2819, 15, 25
Verification:
(2819 + 15 + 25) / 3 = 2859 / 3 ≈ 953
This solution is correct!
Solution 5:
592, 512, 1755
Verification:
(592 + 512 + 1755) / 3 = 2859 / 3 ≈ 953
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 2859 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.