What three numbers have an average of 888?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 888. This means if we add these three numbers together and divide by 3, we should get 888.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 888 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 888 * 3 = x + y + z
- So, the sum of our three numbers should be: 2664
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2664.
Solution 1:
888, 888, 888
Verification:
(888 + 888 + 888) / 3 = 2664 / 3 ≈ 888
This solution is correct!
Solution 2:
888, 888, 888
Verification:
(888 + 888 + 888) / 3 = 2664 / 3 ≈ 888
This solution is correct!
Solution 3:
1481, 1004, 179
Verification:
(1481 + 1004 + 179) / 3 = 2664 / 3 ≈ 888
This solution is correct!
Solution 4:
301, 2027, 336
Verification:
(301 + 2027 + 336) / 3 = 2664 / 3 ≈ 888
This solution is correct!
Solution 5:
1558, 716, 390
Verification:
(1558 + 716 + 390) / 3 = 2664 / 3 ≈ 888
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 2664 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.