What three numbers have an average of 722?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 722. This means if we add these three numbers together and divide by 3, we should get 722.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 722 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 722 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2166

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2166.

Solution 1:

722, 722, 722

Verification:

(722 + 722 + 722) / 3 = 2166 / 3 ≈ 722

This solution is correct!

Solution 2:

722, 722, 722

Verification:

(722 + 722 + 722) / 3 = 2166 / 3 ≈ 722

This solution is correct!

Solution 3:

90, 873, 1203

Verification:

(90 + 873 + 1203) / 3 = 2166 / 3 ≈ 722

This solution is correct!

Solution 4:

1627, 250, 289

Verification:

(1627 + 250 + 289) / 3 = 2166 / 3 ≈ 722

This solution is correct!

Solution 5:

366, 658, 1142

Verification:

(366 + 658 + 1142) / 3 = 2166 / 3 ≈ 722

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 = 923What three numbers have an average of 923 ?
(X+Y+Z) / 3 = 274What three numbers have an average of 274 ?
(X+Y+Z) / 3 = 81What three numbers have an average of 81 ?

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