What three numbers have an average of 887?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 887. This means if we add these three numbers together and divide by 3, we should get 887.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 887 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 887 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2661

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2661.

Solution 1:

887, 887, 887

Verification:

(887 + 887 + 887) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 2:

887, 887, 887

Verification:

(887 + 887 + 887) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 3:

1135, 397, 1129

Verification:

(1135 + 397 + 1129) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 4:

1789, 103, 769

Verification:

(1789 + 103 + 769) / 3 = 2661 / 3 ≈ 887

This solution is correct!

Solution 5:

459, 376, 1826

Verification:

(459 + 376 + 1826) / 3 = 2661 / 3 ≈ 887

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 = 48What three numbers have an average of 48 ?
(X+Y+Z) / 3 = 424What three numbers have an average of 424 ?
(X+Y+Z) / 3 = 32What three numbers have an average of 32 ?

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