What three numbers have an average of 639?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 639. This means if we add these three numbers together and divide by 3, we should get 639.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 639 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 639 * 3 = x + y + z
- So, the sum of our three numbers should be: 1917
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1917.
Solution 1:
639, 639, 639
Verification:
(639 + 639 + 639) / 3 = 1917 / 3 ≈ 639
This solution is correct!
Solution 2:
639, 639, 639
Verification:
(639 + 639 + 639) / 3 = 1917 / 3 ≈ 639
This solution is correct!
Solution 3:
962, 481, 474
Verification:
(962 + 481 + 474) / 3 = 1917 / 3 ≈ 639
This solution is correct!
Solution 4:
1844, 34, 39
Verification:
(1844 + 34 + 39) / 3 = 1917 / 3 ≈ 639
This solution is correct!
Solution 5:
1612, 210, 95
Verification:
(1612 + 210 + 95) / 3 = 1917 / 3 ≈ 639
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 1917 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.