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:

253, 29, 30

Verification:

(253 + 29 + 30) / 3 = 312 / 3 ≈ 104

This solution is correct!

Solution 4:

194, 3, 115

Verification:

(194 + 3 + 115) / 3 = 312 / 3 ≈ 104

This solution is correct!

Solution 5:

242, 55, 15

Verification:

(242 + 55 + 15) / 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 = 731What three numbers have an average of 731 ?
(X+Y+Z) / 3 = 225What three numbers have an average of 225 ?
(X+Y+Z) / 3 = 583What three numbers have an average of 583 ?

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