What three numbers have an average of 626?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 626. This means if we add these three numbers together and divide by 3, we should get 626.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 626 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 626 * 3 = x + y + z
- So, the sum of our three numbers should be: 1878
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1878.
Solution 1:
626, 626, 626
Verification:
(626 + 626 + 626) / 3 = 1878 / 3 ≈ 626
This solution is correct!
Solution 2:
626, 626, 626
Verification:
(626 + 626 + 626) / 3 = 1878 / 3 ≈ 626
This solution is correct!
Solution 3:
454, 68, 1356
Verification:
(454 + 68 + 1356) / 3 = 1878 / 3 ≈ 626
This solution is correct!
Solution 4:
1509, 136, 233
Verification:
(1509 + 136 + 233) / 3 = 1878 / 3 ≈ 626
This solution is correct!
Solution 5:
270, 1172, 436
Verification:
(270 + 1172 + 436) / 3 = 1878 / 3 ≈ 626
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 1878 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.