What three numbers have an average of 588?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 588. This means if we add these three numbers together and divide by 3, we should get 588.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 588 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 588 * 3 = x + y + z
- So, the sum of our three numbers should be: 1764
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1764.
Solution 1:
588, 588, 588
Verification:
(588 + 588 + 588) / 3 = 1764 / 3 ≈ 588
This solution is correct!
Solution 2:
588, 588, 588
Verification:
(588 + 588 + 588) / 3 = 1764 / 3 ≈ 588
This solution is correct!
Solution 3:
717, 668, 379
Verification:
(717 + 668 + 379) / 3 = 1764 / 3 ≈ 588
This solution is correct!
Solution 4:
93, 104, 1567
Verification:
(93 + 104 + 1567) / 3 = 1764 / 3 ≈ 588
This solution is correct!
Solution 5:
1160, 592, 12
Verification:
(1160 + 592 + 12) / 3 = 1764 / 3 ≈ 588
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 1764 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.