What three numbers have an average of 104?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 104. This means if we add these three numbers together and divide by 3, we should get 104.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 104 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 104 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 312

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 312.

Solution 1:

104, 104, 104

Verification:

(104 + 104 + 104) / 3 = 312 / 3 ≈ 104

This solution is correct!

Solution 2:

104, 104, 104

Verification:

(104 + 104 + 104) / 3 = 312 / 3 ≈ 104

This solution is correct!

Solution 3:

28, 222, 62

Verification:

(28 + 222 + 62) / 3 = 312 / 3 ≈ 104

This solution is correct!

Solution 4:

282, 22, 8

Verification:

(282 + 22 + 8) / 3 = 312 / 3 ≈ 104

This solution is correct!

Solution 5:

22, 10, 280

Verification:

(22 + 10 + 280) / 3 = 312 / 3 ≈ 104

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 = 493What three numbers have an average of 493 ?
(X+Y+Z) / 3 = 79What three numbers have an average of 79 ?
(X+Y+Z) / 3 = 762What three numbers have an average of 762 ?

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