What three numbers have an average of 356?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 356. This means if we add these three numbers together and divide by 3, we should get 356.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 356 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 356 * 3 = x + y + z
- So, the sum of our three numbers should be: 1068
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1068.
Solution 1:
356, 356, 356
Verification:
(356 + 356 + 356) / 3 = 1068 / 3 ≈ 356
This solution is correct!
Solution 2:
356, 356, 356
Verification:
(356 + 356 + 356) / 3 = 1068 / 3 ≈ 356
This solution is correct!
Solution 3:
67, 52, 949
Verification:
(67 + 52 + 949) / 3 = 1068 / 3 ≈ 356
This solution is correct!
Solution 4:
624, 194, 250
Verification:
(624 + 194 + 250) / 3 = 1068 / 3 ≈ 356
This solution is correct!
Solution 5:
76, 382, 610
Verification:
(76 + 382 + 610) / 3 = 1068 / 3 ≈ 356
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 1068 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.