What three numbers have an average of 602?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 602. This means if we add these three numbers together and divide by 3, we should get 602.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 602 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 602 * 3 = x + y + z
- So, the sum of our three numbers should be: 1806
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1806.
Solution 1:
602, 602, 602
Verification:
(602 + 602 + 602) / 3 = 1806 / 3 ≈ 602
This solution is correct!
Solution 2:
602, 602, 602
Verification:
(602 + 602 + 602) / 3 = 1806 / 3 ≈ 602
This solution is correct!
Solution 3:
1180, 549, 77
Verification:
(1180 + 549 + 77) / 3 = 1806 / 3 ≈ 602
This solution is correct!
Solution 4:
897, 393, 516
Verification:
(897 + 393 + 516) / 3 = 1806 / 3 ≈ 602
This solution is correct!
Solution 5:
401, 956, 449
Verification:
(401 + 956 + 449) / 3 = 1806 / 3 ≈ 602
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 1806 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.