What three numbers have an average of 531?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 531. This means if we add these three numbers together and divide by 3, we should get 531.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 531 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 531 * 3 = x + y + z
- So, the sum of our three numbers should be: 1593
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1593.
Solution 1:
531, 531, 531
Verification:
(531 + 531 + 531) / 3 = 1593 / 3 ≈ 531
This solution is correct!
Solution 2:
531, 531, 531
Verification:
(531 + 531 + 531) / 3 = 1593 / 3 ≈ 531
This solution is correct!
Solution 3:
1258, 49, 286
Verification:
(1258 + 49 + 286) / 3 = 1593 / 3 ≈ 531
This solution is correct!
Solution 4:
486, 249, 858
Verification:
(486 + 249 + 858) / 3 = 1593 / 3 ≈ 531
This solution is correct!
Solution 5:
970, 114, 509
Verification:
(970 + 114 + 509) / 3 = 1593 / 3 ≈ 531
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 1593 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.