What three numbers have an average of 850?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 850. This means if we add these three numbers together and divide by 3, we should get 850.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 850 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 850 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2550

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2550.

Solution 1:

850, 850, 850

Verification:

(850 + 850 + 850) / 3 = 2550 / 3 ≈ 850

This solution is correct!

Solution 2:

850, 850, 850

Verification:

(850 + 850 + 850) / 3 = 2550 / 3 ≈ 850

This solution is correct!

Solution 3:

2289, 201, 60

Verification:

(2289 + 201 + 60) / 3 = 2550 / 3 ≈ 850

This solution is correct!

Solution 4:

618, 665, 1267

Verification:

(618 + 665 + 1267) / 3 = 2550 / 3 ≈ 850

This solution is correct!

Solution 5:

1877, 234, 439

Verification:

(1877 + 234 + 439) / 3 = 2550 / 3 ≈ 850

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 = 538What three numbers have an average of 538 ?
(X+Y+Z) / 3 = 854What three numbers have an average of 854 ?
(X+Y+Z) / 3 = 814What three numbers have an average of 814 ?

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