What three numbers have an average of 630?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 630. This means if we add these three numbers together and divide by 3, we should get 630.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 630 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 630 * 3 = x + y + z
- So, the sum of our three numbers should be: 1890
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1890.
Solution 1:
630, 630, 630
Verification:
(630 + 630 + 630) / 3 = 1890 / 3 ≈ 630
This solution is correct!
Solution 2:
630, 630, 630
Verification:
(630 + 630 + 630) / 3 = 1890 / 3 ≈ 630
This solution is correct!
Solution 3:
52, 701, 1137
Verification:
(52 + 701 + 1137) / 3 = 1890 / 3 ≈ 630
This solution is correct!
Solution 4:
276, 185, 1429
Verification:
(276 + 185 + 1429) / 3 = 1890 / 3 ≈ 630
This solution is correct!
Solution 5:
1504, 71, 315
Verification:
(1504 + 71 + 315) / 3 = 1890 / 3 ≈ 630
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 1890 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.