What three numbers have an average of 616?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 616. This means if we add these three numbers together and divide by 3, we should get 616.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 616 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 616 * 3 = x + y + z
- So, the sum of our three numbers should be: 1848
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1848.
Solution 1:
616, 616, 616
Verification:
(616 + 616 + 616) / 3 = 1848 / 3 ≈ 616
This solution is correct!
Solution 2:
616, 616, 616
Verification:
(616 + 616 + 616) / 3 = 1848 / 3 ≈ 616
This solution is correct!
Solution 3:
476, 287, 1085
Verification:
(476 + 287 + 1085) / 3 = 1848 / 3 ≈ 616
This solution is correct!
Solution 4:
1377, 151, 320
Verification:
(1377 + 151 + 320) / 3 = 1848 / 3 ≈ 616
This solution is correct!
Solution 5:
1384, 440, 24
Verification:
(1384 + 440 + 24) / 3 = 1848 / 3 ≈ 616
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 1848 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.