What three numbers have an average of 573?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 573. This means if we add these three numbers together and divide by 3, we should get 573.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 573 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 573 * 3 = x + y + z
- So, the sum of our three numbers should be: 1719
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1719.
Solution 1:
573, 573, 573
Verification:
(573 + 573 + 573) / 3 = 1719 / 3 ≈ 573
This solution is correct!
Solution 2:
573, 573, 573
Verification:
(573 + 573 + 573) / 3 = 1719 / 3 ≈ 573
This solution is correct!
Solution 3:
1273, 259, 187
Verification:
(1273 + 259 + 187) / 3 = 1719 / 3 ≈ 573
This solution is correct!
Solution 4:
154, 871, 694
Verification:
(154 + 871 + 694) / 3 = 1719 / 3 ≈ 573
This solution is correct!
Solution 5:
112, 475, 1132
Verification:
(112 + 475 + 1132) / 3 = 1719 / 3 ≈ 573
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 1719 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.