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:

1709, 628, 213

Verification:

(1709 + 628 + 213) / 3 = 2550 / 3 ≈ 850

This solution is correct!

Solution 4:

2211, 86, 253

Verification:

(2211 + 86 + 253) / 3 = 2550 / 3 ≈ 850

This solution is correct!

Solution 5:

1872, 614, 64

Verification:

(1872 + 614 + 64) / 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 = 131What three numbers have an average of 131 ?
(X+Y+Z) / 3 = 869What three numbers have an average of 869 ?
(X+Y+Z) / 3 = 627What three numbers have an average of 627 ?

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