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:

2505, 17, 214

Verification:

(2505 + 17 + 214) / 3 = 2736 / 3 ≈ 912

This solution is correct!

Solution 4:

2226, 450, 60

Verification:

(2226 + 450 + 60) / 3 = 2736 / 3 ≈ 912

This solution is correct!

Solution 5:

2623, 66, 47

Verification:

(2623 + 66 + 47) / 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 = 565What three numbers have an average of 565 ?
(X+Y+Z) / 3 = 133What three numbers have an average of 133 ?
(X+Y+Z) / 3 = 128What three numbers have an average of 128 ?

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