What three numbers have an average of 24?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 24. This means if we add these three numbers together and divide by 3, we should get 24.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 24 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 24 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 72

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 72.

Solution 1:

24, 24, 24

Verification:

(24 + 24 + 24) / 3 = 72 / 3 ≈ 24

This solution is correct!

Solution 2:

24, 24, 24

Verification:

(24 + 24 + 24) / 3 = 72 / 3 ≈ 24

This solution is correct!

Solution 3:

69, 1, 2

Verification:

(69 + 1 + 2) / 3 = 72 / 3 ≈ 24

This solution is correct!

Solution 4:

67, 2, 3

Verification:

(67 + 2 + 3) / 3 = 72 / 3 ≈ 24

This solution is correct!

Solution 5:

13, 12, 47

Verification:

(13 + 12 + 47) / 3 = 72 / 3 ≈ 24

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 = 472What three numbers have an average of 472 ?
(X+Y+Z) / 3 = 710What three numbers have an average of 710 ?
(X+Y+Z) / 3 = 321What three numbers have an average of 321 ?

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