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:

485, 511, 1749

Verification:

(485 + 511 + 1749) / 3 = 2745 / 3 ≈ 915

This solution is correct!

Solution 4:

608, 110, 2027

Verification:

(608 + 110 + 2027) / 3 = 2745 / 3 ≈ 915

This solution is correct!

Solution 5:

433, 2255, 57

Verification:

(433 + 2255 + 57) / 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 = 111What three numbers have an average of 111 ?
(X+Y+Z) / 3 = 109What three numbers have an average of 109 ?
(X+Y+Z) / 3 = 798What three numbers have an average of 798 ?

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