What three numbers have an average of 532?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 532. This means if we add these three numbers together and divide by 3, we should get 532.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 532 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 532 * 3 = x + y + z
- So, the sum of our three numbers should be: 1596
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1596.
Solution 1:
532, 532, 532
Verification:
(532 + 532 + 532) / 3 = 1596 / 3 ≈ 532
This solution is correct!
Solution 2:
532, 532, 532
Verification:
(532 + 532 + 532) / 3 = 1596 / 3 ≈ 532
This solution is correct!
Solution 3:
1207, 286, 103
Verification:
(1207 + 286 + 103) / 3 = 1596 / 3 ≈ 532
This solution is correct!
Solution 4:
1511, 66, 19
Verification:
(1511 + 66 + 19) / 3 = 1596 / 3 ≈ 532
This solution is correct!
Solution 5:
985, 62, 549
Verification:
(985 + 62 + 549) / 3 = 1596 / 3 ≈ 532
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 1596 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.