What three numbers have an average of 62?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 62. This means if we add these three numbers together and divide by 3, we should get 62.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 62 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 62 * 3 = x + y + z
- So, the sum of our three numbers should be: 186
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 186.
Solution 1:
62, 62, 62
Verification:
(62 + 62 + 62) / 3 = 186 / 3 ≈ 62
This solution is correct!
Solution 2:
62, 62, 62
Verification:
(62 + 62 + 62) / 3 = 186 / 3 ≈ 62
This solution is correct!
Solution 3:
125, 27, 34
Verification:
(125 + 27 + 34) / 3 = 186 / 3 ≈ 62
This solution is correct!
Solution 4:
183, 1, 2
Verification:
(183 + 1 + 2) / 3 = 186 / 3 ≈ 62
This solution is correct!
Solution 5:
25, 72, 89
Verification:
(25 + 72 + 89) / 3 = 186 / 3 ≈ 62
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 186 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.