What three numbers have an average of 124?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 124. This means if we add these three numbers together and divide by 3, we should get 124.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 124 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 124 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 372

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 372.

Solution 1:

124, 124, 124

Verification:

(124 + 124 + 124) / 3 = 372 / 3 ≈ 124

This solution is correct!

Solution 2:

124, 124, 124

Verification:

(124 + 124 + 124) / 3 = 372 / 3 ≈ 124

This solution is correct!

Solution 3:

304, 67, 1

Verification:

(304 + 67 + 1) / 3 = 372 / 3 ≈ 124

This solution is correct!

Solution 4:

309, 19, 44

Verification:

(309 + 19 + 44) / 3 = 372 / 3 ≈ 124

This solution is correct!

Solution 5:

262, 93, 17

Verification:

(262 + 93 + 17) / 3 = 372 / 3 ≈ 124

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 = 660What three numbers have an average of 660 ?
(X+Y+Z) / 3 = 998What three numbers have an average of 998 ?
(X+Y+Z) / 3 = 105What three numbers have an average of 105 ?

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