What three numbers have an average of 894?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 894. This means if we add these three numbers together and divide by 3, we should get 894.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 894 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 894 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2682

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2682.

Solution 1:

894, 894, 894

Verification:

(894 + 894 + 894) / 3 = 2682 / 3 ≈ 894

This solution is correct!

Solution 2:

894, 894, 894

Verification:

(894 + 894 + 894) / 3 = 2682 / 3 ≈ 894

This solution is correct!

Solution 3:

868, 1507, 307

Verification:

(868 + 1507 + 307) / 3 = 2682 / 3 ≈ 894

This solution is correct!

Solution 4:

1228, 677, 777

Verification:

(1228 + 677 + 777) / 3 = 2682 / 3 ≈ 894

This solution is correct!

Solution 5:

1072, 1094, 516

Verification:

(1072 + 1094 + 516) / 3 = 2682 / 3 ≈ 894

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 = 325What three numbers have an average of 325 ?
(X+Y+Z) / 3 = 679What three numbers have an average of 679 ?
(X+Y+Z) / 3 = 300What three numbers have an average of 300 ?

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