What three numbers have an average of 222?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 222. This means if we add these three numbers together and divide by 3, we should get 222.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 222 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 222 * 3 = x + y + z
- So, the sum of our three numbers should be: 666
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 666.
Solution 1:
222, 222, 222
Verification:
(222 + 222 + 222) / 3 = 666 / 3 ≈ 222
This solution is correct!
Solution 2:
222, 222, 222
Verification:
(222 + 222 + 222) / 3 = 666 / 3 ≈ 222
This solution is correct!
Solution 3:
531, 14, 121
Verification:
(531 + 14 + 121) / 3 = 666 / 3 ≈ 222
This solution is correct!
Solution 4:
318, 343, 5
Verification:
(318 + 343 + 5) / 3 = 666 / 3 ≈ 222
This solution is correct!
Solution 5:
164, 236, 266
Verification:
(164 + 236 + 266) / 3 = 666 / 3 ≈ 222
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 666 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.