What three numbers have an average of 744?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 744. This means if we add these three numbers together and divide by 3, we should get 744.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 744 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 744 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2232

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2232.

Solution 1:

744, 744, 744

Verification:

(744 + 744 + 744) / 3 = 2232 / 3 ≈ 744

This solution is correct!

Solution 2:

744, 744, 744

Verification:

(744 + 744 + 744) / 3 = 2232 / 3 ≈ 744

This solution is correct!

Solution 3:

717, 1047, 468

Verification:

(717 + 1047 + 468) / 3 = 2232 / 3 ≈ 744

This solution is correct!

Solution 4:

1515, 383, 334

Verification:

(1515 + 383 + 334) / 3 = 2232 / 3 ≈ 744

This solution is correct!

Solution 5:

1515, 306, 411

Verification:

(1515 + 306 + 411) / 3 = 2232 / 3 ≈ 744

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 = 720What three numbers have an average of 720 ?
(X+Y+Z) / 3 = 210What three numbers have an average of 210 ?
(X+Y+Z) / 3 = 663What three numbers have an average of 663 ?

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