What three numbers have an average of 959?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 959. This means if we add these three numbers together and divide by 3, we should get 959.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 959 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 959 * 3 = x + y + z
- So, the sum of our three numbers should be: 2877
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2877.
Solution 1:
959, 959, 959
Verification:
(959 + 959 + 959) / 3 = 2877 / 3 ≈ 959
This solution is correct!
Solution 2:
959, 959, 959
Verification:
(959 + 959 + 959) / 3 = 2877 / 3 ≈ 959
This solution is correct!
Solution 3:
1582, 989, 306
Verification:
(1582 + 989 + 306) / 3 = 2877 / 3 ≈ 959
This solution is correct!
Solution 4:
1872, 345, 660
Verification:
(1872 + 345 + 660) / 3 = 2877 / 3 ≈ 959
This solution is correct!
Solution 5:
345, 1615, 917
Verification:
(345 + 1615 + 917) / 3 = 2877 / 3 ≈ 959
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 2877 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.