What three numbers have an average of 332?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 332. This means if we add these three numbers together and divide by 3, we should get 332.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 332 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 332 * 3 = x + y + z
- So, the sum of our three numbers should be: 996
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 996.
Solution 1:
332, 332, 332
Verification:
(332 + 332 + 332) / 3 = 996 / 3 ≈ 332
This solution is correct!
Solution 2:
332, 332, 332
Verification:
(332 + 332 + 332) / 3 = 996 / 3 ≈ 332
This solution is correct!
Solution 3:
112, 778, 106
Verification:
(112 + 778 + 106) / 3 = 996 / 3 ≈ 332
This solution is correct!
Solution 4:
128, 199, 669
Verification:
(128 + 199 + 669) / 3 = 996 / 3 ≈ 332
This solution is correct!
Solution 5:
903, 23, 70
Verification:
(903 + 23 + 70) / 3 = 996 / 3 ≈ 332
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 996 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.