What three numbers have an average of 236?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 236. This means if we add these three numbers together and divide by 3, we should get 236.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 236 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 236 * 3 = x + y + z
- So, the sum of our three numbers should be: 708
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 708.
Solution 1:
236, 236, 236
Verification:
(236 + 236 + 236) / 3 = 708 / 3 ≈ 236
This solution is correct!
Solution 2:
236, 236, 236
Verification:
(236 + 236 + 236) / 3 = 708 / 3 ≈ 236
This solution is correct!
Solution 3:
614, 93, 1
Verification:
(614 + 93 + 1) / 3 = 708 / 3 ≈ 236
This solution is correct!
Solution 4:
419, 224, 65
Verification:
(419 + 224 + 65) / 3 = 708 / 3 ≈ 236
This solution is correct!
Solution 5:
255, 254, 199
Verification:
(255 + 254 + 199) / 3 = 708 / 3 ≈ 236
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 708 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.