What three numbers have an average of 740?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 740. This means if we add these three numbers together and divide by 3, we should get 740.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 740 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 740 * 3 = x + y + z
- So, the sum of our three numbers should be: 2220
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2220.
Solution 1:
740, 740, 740
Verification:
(740 + 740 + 740) / 3 = 2220 / 3 ≈ 740
This solution is correct!
Solution 2:
740, 740, 740
Verification:
(740 + 740 + 740) / 3 = 2220 / 3 ≈ 740
This solution is correct!
Solution 3:
1131, 4, 1085
Verification:
(1131 + 4 + 1085) / 3 = 2220 / 3 ≈ 740
This solution is correct!
Solution 4:
628, 1377, 215
Verification:
(628 + 1377 + 215) / 3 = 2220 / 3 ≈ 740
This solution is correct!
Solution 5:
1535, 634, 51
Verification:
(1535 + 634 + 51) / 3 = 2220 / 3 ≈ 740
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 2220 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.