What three numbers have an average of 336?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 336. This means if we add these three numbers together and divide by 3, we should get 336.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 336 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 336 * 3 = x + y + z
- So, the sum of our three numbers should be: 1008
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1008.
Solution 1:
336, 336, 336
Verification:
(336 + 336 + 336) / 3 = 1008 / 3 ≈ 336
This solution is correct!
Solution 2:
336, 336, 336
Verification:
(336 + 336 + 336) / 3 = 1008 / 3 ≈ 336
This solution is correct!
Solution 3:
268, 478, 262
Verification:
(268 + 478 + 262) / 3 = 1008 / 3 ≈ 336
This solution is correct!
Solution 4:
956, 5, 47
Verification:
(956 + 5 + 47) / 3 = 1008 / 3 ≈ 336
This solution is correct!
Solution 5:
49, 436, 523
Verification:
(49 + 436 + 523) / 3 = 1008 / 3 ≈ 336
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 1008 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.