What three numbers have an average of 624?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 624. This means if we add these three numbers together and divide by 3, we should get 624.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 624 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 624 * 3 = x + y + z
- So, the sum of our three numbers should be: 1872
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1872.
Solution 1:
624, 624, 624
Verification:
(624 + 624 + 624) / 3 = 1872 / 3 ≈ 624
This solution is correct!
Solution 2:
624, 624, 624
Verification:
(624 + 624 + 624) / 3 = 1872 / 3 ≈ 624
This solution is correct!
Solution 3:
1847, 17, 8
Verification:
(1847 + 17 + 8) / 3 = 1872 / 3 ≈ 624
This solution is correct!
Solution 4:
1107, 663, 102
Verification:
(1107 + 663 + 102) / 3 = 1872 / 3 ≈ 624
This solution is correct!
Solution 5:
1662, 172, 38
Verification:
(1662 + 172 + 38) / 3 = 1872 / 3 ≈ 624
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 1872 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.