What three numbers have an average of 644?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 644. This means if we add these three numbers together and divide by 3, we should get 644.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 644 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 644 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1932

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1932.

Solution 1:

644, 644, 644

Verification:

(644 + 644 + 644) / 3 = 1932 / 3 ≈ 644

This solution is correct!

Solution 2:

644, 644, 644

Verification:

(644 + 644 + 644) / 3 = 1932 / 3 ≈ 644

This solution is correct!

Solution 3:

212, 642, 1078

Verification:

(212 + 642 + 1078) / 3 = 1932 / 3 ≈ 644

This solution is correct!

Solution 4:

1342, 41, 549

Verification:

(1342 + 41 + 549) / 3 = 1932 / 3 ≈ 644

This solution is correct!

Solution 5:

1309, 81, 542

Verification:

(1309 + 81 + 542) / 3 = 1932 / 3 ≈ 644

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 = 584What three numbers have an average of 584 ?
(X+Y+Z) / 3 = 239What three numbers have an average of 239 ?
(X+Y+Z) / 3 = 260What three numbers have an average of 260 ?

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