What three numbers have an average of 876?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 876. This means if we add these three numbers together and divide by 3, we should get 876.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 876 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 876 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2628

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2628.

Solution 1:

876, 876, 876

Verification:

(876 + 876 + 876) / 3 = 2628 / 3 ≈ 876

This solution is correct!

Solution 2:

876, 876, 876

Verification:

(876 + 876 + 876) / 3 = 2628 / 3 ≈ 876

This solution is correct!

Solution 3:

1468, 339, 821

Verification:

(1468 + 339 + 821) / 3 = 2628 / 3 ≈ 876

This solution is correct!

Solution 4:

2041, 543, 44

Verification:

(2041 + 543 + 44) / 3 = 2628 / 3 ≈ 876

This solution is correct!

Solution 5:

2141, 304, 183

Verification:

(2141 + 304 + 183) / 3 = 2628 / 3 ≈ 876

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 = 651What three numbers have an average of 651 ?
(X+Y+Z) / 3 = 347What three numbers have an average of 347 ?
(X+Y+Z) / 3 = 617What three numbers have an average of 617 ?

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