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:
2260, 561, 56
Verification:
(2260 + 561 + 56) / 3 = 2877 / 3 ≈ 959
This solution is correct!
Solution 4:
302, 1661, 914
Verification:
(302 + 1661 + 914) / 3 = 2877 / 3 ≈ 959
This solution is correct!
Solution 5:
2336, 285, 256
Verification:
(2336 + 285 + 256) / 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.