What three numbers have an average of 453?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 453. This means if we add these three numbers together and divide by 3, we should get 453.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 453 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 453 * 3 = x + y + z
- So, the sum of our three numbers should be: 1359
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1359.
Solution 1:
453, 453, 453
Verification:
(453 + 453 + 453) / 3 = 1359 / 3 ≈ 453
This solution is correct!
Solution 2:
453, 453, 453
Verification:
(453 + 453 + 453) / 3 = 1359 / 3 ≈ 453
This solution is correct!
Solution 3:
828, 349, 182
Verification:
(828 + 349 + 182) / 3 = 1359 / 3 ≈ 453
This solution is correct!
Solution 4:
385, 54, 920
Verification:
(385 + 54 + 920) / 3 = 1359 / 3 ≈ 453
This solution is correct!
Solution 5:
86, 1148, 125
Verification:
(86 + 1148 + 125) / 3 = 1359 / 3 ≈ 453
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 1359 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.