What three numbers have an average of 893?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 893. This means if we add these three numbers together and divide by 3, we should get 893.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 893 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 893 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2679

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2679.

Solution 1:

893, 893, 893

Verification:

(893 + 893 + 893) / 3 = 2679 / 3 ≈ 893

This solution is correct!

Solution 2:

893, 893, 893

Verification:

(893 + 893 + 893) / 3 = 2679 / 3 ≈ 893

This solution is correct!

Solution 3:

2575, 8, 96

Verification:

(2575 + 8 + 96) / 3 = 2679 / 3 ≈ 893

This solution is correct!

Solution 4:

2572, 21, 86

Verification:

(2572 + 21 + 86) / 3 = 2679 / 3 ≈ 893

This solution is correct!

Solution 5:

2536, 105, 38

Verification:

(2536 + 105 + 38) / 3 = 2679 / 3 ≈ 893

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 = 951What three numbers have an average of 951 ?
(X+Y+Z) / 3 = 915What three numbers have an average of 915 ?
(X+Y+Z) / 3 = 590What three numbers have an average of 590 ?

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