What three numbers have an average of 476?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 476. This means if we add these three numbers together and divide by 3, we should get 476.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 476 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 476 * 3 = x + y + z
- So, the sum of our three numbers should be: 1428
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1428.
Solution 1:
476, 476, 476
Verification:
(476 + 476 + 476) / 3 = 1428 / 3 ≈ 476
This solution is correct!
Solution 2:
476, 476, 476
Verification:
(476 + 476 + 476) / 3 = 1428 / 3 ≈ 476
This solution is correct!
Solution 3:
1315, 70, 43
Verification:
(1315 + 70 + 43) / 3 = 1428 / 3 ≈ 476
This solution is correct!
Solution 4:
1081, 320, 27
Verification:
(1081 + 320 + 27) / 3 = 1428 / 3 ≈ 476
This solution is correct!
Solution 5:
920, 170, 338
Verification:
(920 + 170 + 338) / 3 = 1428 / 3 ≈ 476
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 1428 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.