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:
131, 784, 1944
Verification:
(131 + 784 + 1944) / 3 = 2859 / 3 ≈ 953
This solution is correct!
Solution 4:
466, 1817, 576
Verification:
(466 + 1817 + 576) / 3 = 2859 / 3 ≈ 953
This solution is correct!
Solution 5:
2814, 13, 32
Verification:
(2814 + 13 + 32) / 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.