What three numbers have an average of 127?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 127. This means if we add these three numbers together and divide by 3, we should get 127.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 127 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 127 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 381

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 381.

Solution 1:

127, 127, 127

Verification:

(127 + 127 + 127) / 3 = 381 / 3 ≈ 127

This solution is correct!

Solution 2:

127, 127, 127

Verification:

(127 + 127 + 127) / 3 = 381 / 3 ≈ 127

This solution is correct!

Solution 3:

242, 125, 14

Verification:

(242 + 125 + 14) / 3 = 381 / 3 ≈ 127

This solution is correct!

Solution 4:

154, 89, 138

Verification:

(154 + 89 + 138) / 3 = 381 / 3 ≈ 127

This solution is correct!

Solution 5:

126, 148, 107

Verification:

(126 + 148 + 107) / 3 = 381 / 3 ≈ 127

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 = 513What three numbers have an average of 513 ?
(X+Y+Z) / 3 = 350What three numbers have an average of 350 ?
(X+Y+Z) / 3 = 696What three numbers have an average of 696 ?

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