What three numbers have an average of 721?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 721. This means if we add these three numbers together and divide by 3, we should get 721.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 721 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 721 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2163

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2163.

Solution 1:

721, 721, 721

Verification:

(721 + 721 + 721) / 3 = 2163 / 3 ≈ 721

This solution is correct!

Solution 2:

721, 721, 721

Verification:

(721 + 721 + 721) / 3 = 2163 / 3 ≈ 721

This solution is correct!

Solution 3:

520, 1070, 573

Verification:

(520 + 1070 + 573) / 3 = 2163 / 3 ≈ 721

This solution is correct!

Solution 4:

1731, 37, 395

Verification:

(1731 + 37 + 395) / 3 = 2163 / 3 ≈ 721

This solution is correct!

Solution 5:

470, 1339, 354

Verification:

(470 + 1339 + 354) / 3 = 2163 / 3 ≈ 721

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 = 634What three numbers have an average of 634 ?
(X+Y+Z) / 3 = 799What three numbers have an average of 799 ?
(X+Y+Z) / 3 = 806What three numbers have an average of 806 ?

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