What three numbers have an average of 895?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 895. This means if we add these three numbers together and divide by 3, we should get 895.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 895 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 895 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2685

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2685.

Solution 1:

895, 895, 895

Verification:

(895 + 895 + 895) / 3 = 2685 / 3 ≈ 895

This solution is correct!

Solution 2:

895, 895, 895

Verification:

(895 + 895 + 895) / 3 = 2685 / 3 ≈ 895

This solution is correct!

Solution 3:

1917, 205, 563

Verification:

(1917 + 205 + 563) / 3 = 2685 / 3 ≈ 895

This solution is correct!

Solution 4:

1973, 22, 690

Verification:

(1973 + 22 + 690) / 3 = 2685 / 3 ≈ 895

This solution is correct!

Solution 5:

1280, 1084, 321

Verification:

(1280 + 1084 + 321) / 3 = 2685 / 3 ≈ 895

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 = 265What three numbers have an average of 265 ?
(X+Y+Z) / 3 = 912What three numbers have an average of 912 ?
(X+Y+Z) / 3 = 533What three numbers have an average of 533 ?

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