What three numbers have an average of 933?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 933. This means if we add these three numbers together and divide by 3, we should get 933.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 933 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 933 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2799

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2799.

Solution 1:

933, 933, 933

Verification:

(933 + 933 + 933) / 3 = 2799 / 3 ≈ 933

This solution is correct!

Solution 2:

933, 933, 933

Verification:

(933 + 933 + 933) / 3 = 2799 / 3 ≈ 933

This solution is correct!

Solution 3:

1294, 1004, 501

Verification:

(1294 + 1004 + 501) / 3 = 2799 / 3 ≈ 933

This solution is correct!

Solution 4:

2438, 17, 344

Verification:

(2438 + 17 + 344) / 3 = 2799 / 3 ≈ 933

This solution is correct!

Solution 5:

1289, 128, 1382

Verification:

(1289 + 128 + 1382) / 3 = 2799 / 3 ≈ 933

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 = 931What three numbers have an average of 931 ?
(X+Y+Z) / 3 = 367What three numbers have an average of 367 ?
(X+Y+Z) / 3 = 21What three numbers have an average of 21 ?

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