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:
1445, 901, 324
Verification:
(1445 + 901 + 324) / 3 = 2670 / 3 ≈ 890
This solution is correct!
Solution 4:
1092, 1564, 14
Verification:
(1092 + 1564 + 14) / 3 = 2670 / 3 ≈ 890
This solution is correct!
Solution 5:
587, 981, 1102
Verification:
(587 + 981 + 1102) / 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.