What three numbers have an average of 88?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 88. This means if we add these three numbers together and divide by 3, we should get 88.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 88 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 88 * 3 = x + y + z
- So, the sum of our three numbers should be: 264
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 264.
Solution 1:
88, 88, 88
Verification:
(88 + 88 + 88) / 3 = 264 / 3 ≈ 88
This solution is correct!
Solution 2:
88, 88, 88
Verification:
(88 + 88 + 88) / 3 = 264 / 3 ≈ 88
This solution is correct!
Solution 3:
102, 118, 44
Verification:
(102 + 118 + 44) / 3 = 264 / 3 ≈ 88
This solution is correct!
Solution 4:
47, 53, 164
Verification:
(47 + 53 + 164) / 3 = 264 / 3 ≈ 88
This solution is correct!
Solution 5:
2, 254, 8
Verification:
(2 + 254 + 8) / 3 = 264 / 3 ≈ 88
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 264 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.