What three numbers have an average of 386?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 386. This means if we add these three numbers together and divide by 3, we should get 386.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 386 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 386 * 3 = x + y + z
- So, the sum of our three numbers should be: 1158
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1158.
Solution 1:
386, 386, 386
Verification:
(386 + 386 + 386) / 3 = 1158 / 3 ≈ 386
This solution is correct!
Solution 2:
386, 386, 386
Verification:
(386 + 386 + 386) / 3 = 1158 / 3 ≈ 386
This solution is correct!
Solution 3:
915, 229, 14
Verification:
(915 + 229 + 14) / 3 = 1158 / 3 ≈ 386
This solution is correct!
Solution 4:
420, 87, 651
Verification:
(420 + 87 + 651) / 3 = 1158 / 3 ≈ 386
This solution is correct!
Solution 5:
1119, 15, 24
Verification:
(1119 + 15 + 24) / 3 = 1158 / 3 ≈ 386
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 1158 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.