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:

873, 661, 1148

Verification:

(873 + 661 + 1148) / 3 = 2682 / 3 ≈ 894

This solution is correct!

Solution 4:

2637, 4, 41

Verification:

(2637 + 4 + 41) / 3 = 2682 / 3 ≈ 894

This solution is correct!

Solution 5:

424, 1395, 863

Verification:

(424 + 1395 + 863) / 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 = 588What three numbers have an average of 588 ?
(X+Y+Z) / 3 = 313What three numbers have an average of 313 ?
(X+Y+Z) / 3 = 73What three numbers have an average of 73 ?

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