What three numbers have an average of 651?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 651. This means if we add these three numbers together and divide by 3, we should get 651.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 651 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 651 * 3 = x + y + z
- So, the sum of our three numbers should be: 1953
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1953.
Solution 1:
651, 651, 651
Verification:
(651 + 651 + 651) / 3 = 1953 / 3 ≈ 651
This solution is correct!
Solution 2:
651, 651, 651
Verification:
(651 + 651 + 651) / 3 = 1953 / 3 ≈ 651
This solution is correct!
Solution 3:
1445, 234, 274
Verification:
(1445 + 234 + 274) / 3 = 1953 / 3 ≈ 651
This solution is correct!
Solution 4:
841, 313, 799
Verification:
(841 + 313 + 799) / 3 = 1953 / 3 ≈ 651
This solution is correct!
Solution 5:
1541, 89, 323
Verification:
(1541 + 89 + 323) / 3 = 1953 / 3 ≈ 651
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 1953 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.