What three numbers have an average of 638?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 638. This means if we add these three numbers together and divide by 3, we should get 638.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 638 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 638 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1914

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1914.

Solution 1:

638, 638, 638

Verification:

(638 + 638 + 638) / 3 = 1914 / 3 ≈ 638

This solution is correct!

Solution 2:

638, 638, 638

Verification:

(638 + 638 + 638) / 3 = 1914 / 3 ≈ 638

This solution is correct!

Solution 3:

174, 1112, 628

Verification:

(174 + 1112 + 628) / 3 = 1914 / 3 ≈ 638

This solution is correct!

Solution 4:

1069, 205, 640

Verification:

(1069 + 205 + 640) / 3 = 1914 / 3 ≈ 638

This solution is correct!

Solution 5:

694, 175, 1045

Verification:

(694 + 175 + 1045) / 3 = 1914 / 3 ≈ 638

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 = 309What three numbers have an average of 309 ?
(X+Y+Z) / 3 = 789What three numbers have an average of 789 ?
(X+Y+Z) / 3 = 727What three numbers have an average of 727 ?

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