What three numbers have an average of 855?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 855. This means if we add these three numbers together and divide by 3, we should get 855.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 855 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 855 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2565

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2565.

Solution 1:

855, 855, 855

Verification:

(855 + 855 + 855) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 2:

855, 855, 855

Verification:

(855 + 855 + 855) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 3:

2300, 108, 157

Verification:

(2300 + 108 + 157) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 4:

220, 1336, 1009

Verification:

(220 + 1336 + 1009) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 5:

328, 562, 1675

Verification:

(328 + 562 + 1675) / 3 = 2565 / 3 ≈ 855

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 = 809What three numbers have an average of 809 ?
(X+Y+Z) / 3 = 437What three numbers have an average of 437 ?
(X+Y+Z) / 3 = 894What three numbers have an average of 894 ?

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