What three numbers have an average of 908?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 908. This means if we add these three numbers together and divide by 3, we should get 908.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 908 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 908 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2724

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2724.

Solution 1:

908, 908, 908

Verification:

(908 + 908 + 908) / 3 = 2724 / 3 ≈ 908

This solution is correct!

Solution 2:

908, 908, 908

Verification:

(908 + 908 + 908) / 3 = 2724 / 3 ≈ 908

This solution is correct!

Solution 3:

1995, 694, 35

Verification:

(1995 + 694 + 35) / 3 = 2724 / 3 ≈ 908

This solution is correct!

Solution 4:

1824, 383, 517

Verification:

(1824 + 383 + 517) / 3 = 2724 / 3 ≈ 908

This solution is correct!

Solution 5:

952, 424, 1348

Verification:

(952 + 424 + 1348) / 3 = 2724 / 3 ≈ 908

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 = 750What three numbers have an average of 750 ?
(X+Y+Z) / 3 = 167What three numbers have an average of 167 ?
(X+Y+Z) / 3 = 854What three numbers have an average of 854 ?

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