What three numbers have an average of 725?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 725. This means if we add these three numbers together and divide by 3, we should get 725.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 725 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 725 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2175

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2175.

Solution 1:

725, 725, 725

Verification:

(725 + 725 + 725) / 3 = 2175 / 3 ≈ 725

This solution is correct!

Solution 2:

725, 725, 725

Verification:

(725 + 725 + 725) / 3 = 2175 / 3 ≈ 725

This solution is correct!

Solution 3:

1397, 284, 494

Verification:

(1397 + 284 + 494) / 3 = 2175 / 3 ≈ 725

This solution is correct!

Solution 4:

1824, 22, 329

Verification:

(1824 + 22 + 329) / 3 = 2175 / 3 ≈ 725

This solution is correct!

Solution 5:

580, 1175, 420

Verification:

(580 + 1175 + 420) / 3 = 2175 / 3 ≈ 725

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 = 874What three numbers have an average of 874 ?
(X+Y+Z) / 3 = 576What three numbers have an average of 576 ?
(X+Y+Z) / 3 = 137What three numbers have an average of 137 ?

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