What three numbers have an average of 479?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 479. This means if we add these three numbers together and divide by 3, we should get 479.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 479 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 479 * 3 = x + y + z
- So, the sum of our three numbers should be: 1437
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1437.
Solution 1:
479, 479, 479
Verification:
(479 + 479 + 479) / 3 = 1437 / 3 ≈ 479
This solution is correct!
Solution 2:
479, 479, 479
Verification:
(479 + 479 + 479) / 3 = 1437 / 3 ≈ 479
This solution is correct!
Solution 3:
825, 330, 282
Verification:
(825 + 330 + 282) / 3 = 1437 / 3 ≈ 479
This solution is correct!
Solution 4:
1405, 6, 26
Verification:
(1405 + 6 + 26) / 3 = 1437 / 3 ≈ 479
This solution is correct!
Solution 5:
485, 303, 649
Verification:
(485 + 303 + 649) / 3 = 1437 / 3 ≈ 479
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 1437 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.