What three numbers have an average of 951?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 951. This means if we add these three numbers together and divide by 3, we should get 951.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 951 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 951 * 3 = x + y + z
- So, the sum of our three numbers should be: 2853
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2853.
Solution 1:
951, 951, 951
Verification:
(951 + 951 + 951) / 3 = 2853 / 3 ≈ 951
This solution is correct!
Solution 2:
951, 951, 951
Verification:
(951 + 951 + 951) / 3 = 2853 / 3 ≈ 951
This solution is correct!
Solution 3:
821, 1934, 98
Verification:
(821 + 1934 + 98) / 3 = 2853 / 3 ≈ 951
This solution is correct!
Solution 4:
2577, 43, 233
Verification:
(2577 + 43 + 233) / 3 = 2853 / 3 ≈ 951
This solution is correct!
Solution 5:
484, 1206, 1163
Verification:
(484 + 1206 + 1163) / 3 = 2853 / 3 ≈ 951
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 2853 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.