What three numbers have an average of 889?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 889. This means if we add these three numbers together and divide by 3, we should get 889.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 889 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 889 * 3 = x + y + z
- So, the sum of our three numbers should be: 2667
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2667.
Solution 1:
889, 889, 889
Verification:
(889 + 889 + 889) / 3 = 2667 / 3 ≈ 889
This solution is correct!
Solution 2:
889, 889, 889
Verification:
(889 + 889 + 889) / 3 = 2667 / 3 ≈ 889
This solution is correct!
Solution 3:
1956, 545, 166
Verification:
(1956 + 545 + 166) / 3 = 2667 / 3 ≈ 889
This solution is correct!
Solution 4:
147, 731, 1789
Verification:
(147 + 731 + 1789) / 3 = 2667 / 3 ≈ 889
This solution is correct!
Solution 5:
570, 1530, 567
Verification:
(570 + 1530 + 567) / 3 = 2667 / 3 ≈ 889
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 2667 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.