What three numbers have an average of 618?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 618. This means if we add these three numbers together and divide by 3, we should get 618.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 618 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 618 * 3 = x + y + z
- So, the sum of our three numbers should be: 1854
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1854.
Solution 1:
618, 618, 618
Verification:
(618 + 618 + 618) / 3 = 1854 / 3 ≈ 618
This solution is correct!
Solution 2:
618, 618, 618
Verification:
(618 + 618 + 618) / 3 = 1854 / 3 ≈ 618
This solution is correct!
Solution 3:
1350, 258, 246
Verification:
(1350 + 258 + 246) / 3 = 1854 / 3 ≈ 618
This solution is correct!
Solution 4:
1358, 130, 366
Verification:
(1358 + 130 + 366) / 3 = 1854 / 3 ≈ 618
This solution is correct!
Solution 5:
1822, 3, 29
Verification:
(1822 + 3 + 29) / 3 = 1854 / 3 ≈ 618
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 1854 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.