What three numbers have an average of 608?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 608. This means if we add these three numbers together and divide by 3, we should get 608.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 608 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 608 * 3 = x + y + z
- So, the sum of our three numbers should be: 1824
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1824.
Solution 1:
608, 608, 608
Verification:
(608 + 608 + 608) / 3 = 1824 / 3 ≈ 608
This solution is correct!
Solution 2:
608, 608, 608
Verification:
(608 + 608 + 608) / 3 = 1824 / 3 ≈ 608
This solution is correct!
Solution 3:
289, 660, 875
Verification:
(289 + 660 + 875) / 3 = 1824 / 3 ≈ 608
This solution is correct!
Solution 4:
859, 681, 284
Verification:
(859 + 681 + 284) / 3 = 1824 / 3 ≈ 608
This solution is correct!
Solution 5:
868, 168, 788
Verification:
(868 + 168 + 788) / 3 = 1824 / 3 ≈ 608
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 1824 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.