What three numbers have an average of 924?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 924. This means if we add these three numbers together and divide by 3, we should get 924.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 924 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 924 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2772

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2772.

Solution 1:

924, 924, 924

Verification:

(924 + 924 + 924) / 3 = 2772 / 3 ≈ 924

This solution is correct!

Solution 2:

924, 924, 924

Verification:

(924 + 924 + 924) / 3 = 2772 / 3 ≈ 924

This solution is correct!

Solution 3:

1499, 892, 381

Verification:

(1499 + 892 + 381) / 3 = 2772 / 3 ≈ 924

This solution is correct!

Solution 4:

2438, 86, 248

Verification:

(2438 + 86 + 248) / 3 = 2772 / 3 ≈ 924

This solution is correct!

Solution 5:

2721, 8, 43

Verification:

(2721 + 8 + 43) / 3 = 2772 / 3 ≈ 924

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 = 11What three numbers have an average of 11 ?
(X+Y+Z) / 3 = 464What three numbers have an average of 464 ?
(X+Y+Z) / 3 = 881What three numbers have an average of 881 ?

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