What three numbers have an average of 730?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 730. This means if we add these three numbers together and divide by 3, we should get 730.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 730 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 730 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2190

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2190.

Solution 1:

730, 730, 730

Verification:

(730 + 730 + 730) / 3 = 2190 / 3 ≈ 730

This solution is correct!

Solution 2:

730, 730, 730

Verification:

(730 + 730 + 730) / 3 = 2190 / 3 ≈ 730

This solution is correct!

Solution 3:

1455, 122, 613

Verification:

(1455 + 122 + 613) / 3 = 2190 / 3 ≈ 730

This solution is correct!

Solution 4:

2104, 69, 17

Verification:

(2104 + 69 + 17) / 3 = 2190 / 3 ≈ 730

This solution is correct!

Solution 5:

1619, 4, 567

Verification:

(1619 + 4 + 567) / 3 = 2190 / 3 ≈ 730

This solution is correct!

Explanation:

As you can see, there are many possible solutions. We can find more by:

Remember:

Try it out:

(X+Y+Z) / 3 = 232What three numbers have an average of 232 ?
(X+Y+Z) / 3 = 830What three numbers have an average of 830 ?
(X+Y+Z) / 3 = 949What three numbers have an average of 949 ?

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