What three numbers have an average of 876?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 876. This means if we add these three numbers together and divide by 3, we should get 876.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 876 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 876 * 3 = x + y + z
- So, the sum of our three numbers should be: 2628
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2628.
Solution 1:
876, 876, 876
Verification:
(876 + 876 + 876) / 3 = 2628 / 3 ≈ 876
This solution is correct!
Solution 2:
876, 876, 876
Verification:
(876 + 876 + 876) / 3 = 2628 / 3 ≈ 876
This solution is correct!
Solution 3:
1401, 307, 920
Verification:
(1401 + 307 + 920) / 3 = 2628 / 3 ≈ 876
This solution is correct!
Solution 4:
492, 144, 1992
Verification:
(492 + 144 + 1992) / 3 = 2628 / 3 ≈ 876
This solution is correct!
Solution 5:
1010, 4, 1614
Verification:
(1010 + 4 + 1614) / 3 = 2628 / 3 ≈ 876
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 2628 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.