What three numbers have an average of 889?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 889. This means if we add these three numbers together and divide by 3, we should get 889.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 889 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 889 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2667

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2667.

Solution 1:

889, 889, 889

Verification:

(889 + 889 + 889) / 3 = 2667 / 3 ≈ 889

This solution is correct!

Solution 2:

889, 889, 889

Verification:

(889 + 889 + 889) / 3 = 2667 / 3 ≈ 889

This solution is correct!

Solution 3:

1956, 545, 166

Verification:

(1956 + 545 + 166) / 3 = 2667 / 3 ≈ 889

This solution is correct!

Solution 4:

147, 731, 1789

Verification:

(147 + 731 + 1789) / 3 = 2667 / 3 ≈ 889

This solution is correct!

Solution 5:

570, 1530, 567

Verification:

(570 + 1530 + 567) / 3 = 2667 / 3 ≈ 889

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 = 412What three numbers have an average of 412 ?
(X+Y+Z) / 3 = 548What three numbers have an average of 548 ?
(X+Y+Z) / 3 = 83What three numbers have an average of 83 ?

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