What three numbers have an average of 607?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 607. This means if we add these three numbers together and divide by 3, we should get 607.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 607 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 607 * 3 = x + y + z
- So, the sum of our three numbers should be: 1821
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1821.
Solution 1:
607, 607, 607
Verification:
(607 + 607 + 607) / 3 = 1821 / 3 ≈ 607
This solution is correct!
Solution 2:
607, 607, 607
Verification:
(607 + 607 + 607) / 3 = 1821 / 3 ≈ 607
This solution is correct!
Solution 3:
1091, 227, 503
Verification:
(1091 + 227 + 503) / 3 = 1821 / 3 ≈ 607
This solution is correct!
Solution 4:
1371, 387, 63
Verification:
(1371 + 387 + 63) / 3 = 1821 / 3 ≈ 607
This solution is correct!
Solution 5:
1484, 176, 161
Verification:
(1484 + 176 + 161) / 3 = 1821 / 3 ≈ 607
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 1821 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.