What three numbers have an average of 884?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 884. This means if we add these three numbers together and divide by 3, we should get 884.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 884 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 884 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2652

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2652.

Solution 1:

884, 884, 884

Verification:

(884 + 884 + 884) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 2:

884, 884, 884

Verification:

(884 + 884 + 884) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 3:

1577, 350, 725

Verification:

(1577 + 350 + 725) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 4:

2553, 72, 27

Verification:

(2553 + 72 + 27) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 5:

470, 1253, 929

Verification:

(470 + 1253 + 929) / 3 = 2652 / 3 ≈ 884

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 = 46What three numbers have an average of 46 ?
(X+Y+Z) / 3 = 951What three numbers have an average of 951 ?
(X+Y+Z) / 3 = 675What three numbers have an average of 675 ?

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