What three numbers have an average of 351?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 351. This means if we add these three numbers together and divide by 3, we should get 351.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 351 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 351 * 3 = x + y + z
- So, the sum of our three numbers should be: 1053
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1053.
Solution 1:
351, 351, 351
Verification:
(351 + 351 + 351) / 3 = 1053 / 3 ≈ 351
This solution is correct!
Solution 2:
351, 351, 351
Verification:
(351 + 351 + 351) / 3 = 1053 / 3 ≈ 351
This solution is correct!
Solution 3:
80, 12, 961
Verification:
(80 + 12 + 961) / 3 = 1053 / 3 ≈ 351
This solution is correct!
Solution 4:
739, 222, 92
Verification:
(739 + 222 + 92) / 3 = 1053 / 3 ≈ 351
This solution is correct!
Solution 5:
41, 664, 348
Verification:
(41 + 664 + 348) / 3 = 1053 / 3 ≈ 351
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 1053 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.