What three numbers have an average of 129?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 129. This means if we add these three numbers together and divide by 3, we should get 129.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 129 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 129 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 387

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 387.

Solution 1:

129, 129, 129

Verification:

(129 + 129 + 129) / 3 = 387 / 3 ≈ 129

This solution is correct!

Solution 2:

129, 129, 129

Verification:

(129 + 129 + 129) / 3 = 387 / 3 ≈ 129

This solution is correct!

Solution 3:

285, 70, 32

Verification:

(285 + 70 + 32) / 3 = 387 / 3 ≈ 129

This solution is correct!

Solution 4:

302, 45, 40

Verification:

(302 + 45 + 40) / 3 = 387 / 3 ≈ 129

This solution is correct!

Solution 5:

308, 14, 65

Verification:

(308 + 14 + 65) / 3 = 387 / 3 ≈ 129

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 = 475What three numbers have an average of 475 ?
(X+Y+Z) / 3 = 483What three numbers have an average of 483 ?
(X+Y+Z) / 3 = 419What three numbers have an average of 419 ?

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