What three numbers have an average of 620?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 620. This means if we add these three numbers together and divide by 3, we should get 620.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 620 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 620 * 3 = x + y + z
- So, the sum of our three numbers should be: 1860
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1860.
Solution 1:
620, 620, 620
Verification:
(620 + 620 + 620) / 3 = 1860 / 3 ≈ 620
This solution is correct!
Solution 2:
620, 620, 620
Verification:
(620 + 620 + 620) / 3 = 1860 / 3 ≈ 620
This solution is correct!
Solution 3:
682, 499, 679
Verification:
(682 + 499 + 679) / 3 = 1860 / 3 ≈ 620
This solution is correct!
Solution 4:
252, 1546, 62
Verification:
(252 + 1546 + 62) / 3 = 1860 / 3 ≈ 620
This solution is correct!
Solution 5:
1030, 316, 514
Verification:
(1030 + 316 + 514) / 3 = 1860 / 3 ≈ 620
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 1860 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.