What three numbers have an average of 79?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 79. This means if we add these three numbers together and divide by 3, we should get 79.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 79 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 79 * 3 = x + y + z
- So, the sum of our three numbers should be: 237
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 237.
Solution 1:
79, 79, 79
Verification:
(79 + 79 + 79) / 3 = 237 / 3 ≈ 79
This solution is correct!
Solution 2:
79, 79, 79
Verification:
(79 + 79 + 79) / 3 = 237 / 3 ≈ 79
This solution is correct!
Solution 3:
17, 161, 59
Verification:
(17 + 161 + 59) / 3 = 237 / 3 ≈ 79
This solution is correct!
Solution 4:
205, 3, 29
Verification:
(205 + 3 + 29) / 3 = 237 / 3 ≈ 79
This solution is correct!
Solution 5:
78, 77, 82
Verification:
(78 + 77 + 82) / 3 = 237 / 3 ≈ 79
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 237 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.