What three numbers have an average of 912?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 912. This means if we add these three numbers together and divide by 3, we should get 912.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 912 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 912 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2736

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2736.

Solution 1:

912, 912, 912

Verification:

(912 + 912 + 912) / 3 = 2736 / 3 ≈ 912

This solution is correct!

Solution 2:

912, 912, 912

Verification:

(912 + 912 + 912) / 3 = 2736 / 3 ≈ 912

This solution is correct!

Solution 3:

577, 1243, 916

Verification:

(577 + 1243 + 916) / 3 = 2736 / 3 ≈ 912

This solution is correct!

Solution 4:

1182, 499, 1055

Verification:

(1182 + 499 + 1055) / 3 = 2736 / 3 ≈ 912

This solution is correct!

Solution 5:

2161, 268, 307

Verification:

(2161 + 268 + 307) / 3 = 2736 / 3 ≈ 912

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 = 831What three numbers have an average of 831 ?
(X+Y+Z) / 3 = 299What three numbers have an average of 299 ?
(X+Y+Z) / 3 = 55What three numbers have an average of 55 ?

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