What three numbers have an average of 629?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 629. This means if we add these three numbers together and divide by 3, we should get 629.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 629 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 629 * 3 = x + y + z
- So, the sum of our three numbers should be: 1887
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1887.
Solution 1:
629, 629, 629
Verification:
(629 + 629 + 629) / 3 = 1887 / 3 ≈ 629
This solution is correct!
Solution 2:
629, 629, 629
Verification:
(629 + 629 + 629) / 3 = 1887 / 3 ≈ 629
This solution is correct!
Solution 3:
476, 724, 687
Verification:
(476 + 724 + 687) / 3 = 1887 / 3 ≈ 629
This solution is correct!
Solution 4:
1360, 393, 134
Verification:
(1360 + 393 + 134) / 3 = 1887 / 3 ≈ 629
This solution is correct!
Solution 5:
1648, 197, 42
Verification:
(1648 + 197 + 42) / 3 = 1887 / 3 ≈ 629
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 1887 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.