What three numbers have an average of 915?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 915. This means if we add these three numbers together and divide by 3, we should get 915.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 915 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 915 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2745

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2745.

Solution 1:

915, 915, 915

Verification:

(915 + 915 + 915) / 3 = 2745 / 3 ≈ 915

This solution is correct!

Solution 2:

915, 915, 915

Verification:

(915 + 915 + 915) / 3 = 2745 / 3 ≈ 915

This solution is correct!

Solution 3:

302, 1788, 655

Verification:

(302 + 1788 + 655) / 3 = 2745 / 3 ≈ 915

This solution is correct!

Solution 4:

834, 869, 1042

Verification:

(834 + 869 + 1042) / 3 = 2745 / 3 ≈ 915

This solution is correct!

Solution 5:

21, 2294, 430

Verification:

(21 + 2294 + 430) / 3 = 2745 / 3 ≈ 915

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 = 710What three numbers have an average of 710 ?
(X+Y+Z) / 3 = 222What three numbers have an average of 222 ?
(X+Y+Z) / 3 = 841What three numbers have an average of 841 ?

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