What three numbers have an average of 625?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 625. This means if we add these three numbers together and divide by 3, we should get 625.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 625 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 625 * 3 = x + y + z
- So, the sum of our three numbers should be: 1875
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1875.
Solution 1:
625, 625, 625
Verification:
(625 + 625 + 625) / 3 = 1875 / 3 ≈ 625
This solution is correct!
Solution 2:
625, 625, 625
Verification:
(625 + 625 + 625) / 3 = 1875 / 3 ≈ 625
This solution is correct!
Solution 3:
232, 563, 1080
Verification:
(232 + 563 + 1080) / 3 = 1875 / 3 ≈ 625
This solution is correct!
Solution 4:
248, 453, 1174
Verification:
(248 + 453 + 1174) / 3 = 1875 / 3 ≈ 625
This solution is correct!
Solution 5:
929, 824, 122
Verification:
(929 + 824 + 122) / 3 = 1875 / 3 ≈ 625
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 1875 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.