What three numbers have an average of 373?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 373. This means if we add these three numbers together and divide by 3, we should get 373.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 373 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 373 * 3 = x + y + z
- So, the sum of our three numbers should be: 1119
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1119.
Solution 1:
373, 373, 373
Verification:
(373 + 373 + 373) / 3 = 1119 / 3 ≈ 373
This solution is correct!
Solution 2:
373, 373, 373
Verification:
(373 + 373 + 373) / 3 = 1119 / 3 ≈ 373
This solution is correct!
Solution 3:
103, 651, 365
Verification:
(103 + 651 + 365) / 3 = 1119 / 3 ≈ 373
This solution is correct!
Solution 4:
589, 118, 412
Verification:
(589 + 118 + 412) / 3 = 1119 / 3 ≈ 373
This solution is correct!
Solution 5:
323, 640, 156
Verification:
(323 + 640 + 156) / 3 = 1119 / 3 ≈ 373
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 1119 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.