What three numbers have an average of 890?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 890. This means if we add these three numbers together and divide by 3, we should get 890.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 890 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 890 * 3 = x + y + z
- So, the sum of our three numbers should be: 2670
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2670.
Solution 1:
890, 890, 890
Verification:
(890 + 890 + 890) / 3 = 2670 / 3 ≈ 890
This solution is correct!
Solution 2:
890, 890, 890
Verification:
(890 + 890 + 890) / 3 = 2670 / 3 ≈ 890
This solution is correct!
Solution 3:
2068, 578, 24
Verification:
(2068 + 578 + 24) / 3 = 2670 / 3 ≈ 890
This solution is correct!
Solution 4:
501, 362, 1807
Verification:
(501 + 362 + 1807) / 3 = 2670 / 3 ≈ 890
This solution is correct!
Solution 5:
459, 2013, 198
Verification:
(459 + 2013 + 198) / 3 = 2670 / 3 ≈ 890
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 2670 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.