What three numbers have an average of 4?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 4. This means if we add these three numbers together and divide by 3, we should get 4.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 4 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 4 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 12

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 12.

Solution 1:

4, 4, 4

Verification:

(4 + 4 + 4) / 3 = 12 / 3 ≈ 4

This solution is correct!

Solution 2:

4, 4, 4

Verification:

(4 + 4 + 4) / 3 = 12 / 3 ≈ 4

This solution is correct!

Solution 3:

1, 7, 4

Verification:

(1 + 7 + 4) / 3 = 12 / 3 ≈ 4

This solution is correct!

Solution 4:

2, 2, 8

Verification:

(2 + 2 + 8) / 3 = 12 / 3 ≈ 4

This solution is correct!

Solution 5:

5, 2, 5

Verification:

(5 + 2 + 5) / 3 = 12 / 3 ≈ 4

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 = 304What three numbers have an average of 304 ?
(X+Y+Z) / 3 = 716What three numbers have an average of 716 ?
(X+Y+Z) / 3 = 156What three numbers have an average of 156 ?

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