What three numbers have an average of 436?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 436. This means if we add these three numbers together and divide by 3, we should get 436.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 436 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 436 * 3 = x + y + z
- So, the sum of our three numbers should be: 1308
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1308.
Solution 1:
436, 436, 436
Verification:
(436 + 436 + 436) / 3 = 1308 / 3 ≈ 436
This solution is correct!
Solution 2:
436, 436, 436
Verification:
(436 + 436 + 436) / 3 = 1308 / 3 ≈ 436
This solution is correct!
Solution 3:
916, 197, 195
Verification:
(916 + 197 + 195) / 3 = 1308 / 3 ≈ 436
This solution is correct!
Solution 4:
584, 342, 382
Verification:
(584 + 342 + 382) / 3 = 1308 / 3 ≈ 436
This solution is correct!
Solution 5:
652, 490, 166
Verification:
(652 + 490 + 166) / 3 = 1308 / 3 ≈ 436
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 1308 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.