What three numbers have an average of 938?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 938. This means if we add these three numbers together and divide by 3, we should get 938.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 938 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 938 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2814

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2814.

Solution 1:

938, 938, 938

Verification:

(938 + 938 + 938) / 3 = 2814 / 3 ≈ 938

This solution is correct!

Solution 2:

938, 938, 938

Verification:

(938 + 938 + 938) / 3 = 2814 / 3 ≈ 938

This solution is correct!

Solution 3:

771, 186, 1857

Verification:

(771 + 186 + 1857) / 3 = 2814 / 3 ≈ 938

This solution is correct!

Solution 4:

1526, 101, 1187

Verification:

(1526 + 101 + 1187) / 3 = 2814 / 3 ≈ 938

This solution is correct!

Solution 5:

334, 1539, 941

Verification:

(334 + 1539 + 941) / 3 = 2814 / 3 ≈ 938

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 = 573What three numbers have an average of 573 ?
(X+Y+Z) / 3 = 935What three numbers have an average of 935 ?
(X+Y+Z) / 3 = 587What three numbers have an average of 587 ?

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