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:

1055, 978, 130

Verification:

(1055 + 978 + 130) / 3 = 2163 / 3 ≈ 721

This solution is correct!

Solution 4:

1698, 247, 218

Verification:

(1698 + 247 + 218) / 3 = 2163 / 3 ≈ 721

This solution is correct!

Solution 5:

742, 798, 623

Verification:

(742 + 798 + 623) / 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 = 754What three numbers have an average of 754 ?
(X+Y+Z) / 3 = 549What three numbers have an average of 549 ?
(X+Y+Z) / 3 = 941What three numbers have an average of 941 ?

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