What three numbers have an average of 879?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 879. This means if we add these three numbers together and divide by 3, we should get 879.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 879 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 879 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2637

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2637.

Solution 1:

879, 879, 879

Verification:

(879 + 879 + 879) / 3 = 2637 / 3 ≈ 879

This solution is correct!

Solution 2:

879, 879, 879

Verification:

(879 + 879 + 879) / 3 = 2637 / 3 ≈ 879

This solution is correct!

Solution 3:

2431, 60, 146

Verification:

(2431 + 60 + 146) / 3 = 2637 / 3 ≈ 879

This solution is correct!

Solution 4:

1721, 710, 206

Verification:

(1721 + 710 + 206) / 3 = 2637 / 3 ≈ 879

This solution is correct!

Solution 5:

2430, 180, 27

Verification:

(2430 + 180 + 27) / 3 = 2637 / 3 ≈ 879

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 = 443What three numbers have an average of 443 ?
(X+Y+Z) / 3 = 932What three numbers have an average of 932 ?
(X+Y+Z) / 3 = 801What three numbers have an average of 801 ?

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