What three numbers have an average of 874?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 874. This means if we add these three numbers together and divide by 3, we should get 874.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 874 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 874 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2622

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2622.

Solution 1:

874, 874, 874

Verification:

(874 + 874 + 874) / 3 = 2622 / 3 ≈ 874

This solution is correct!

Solution 2:

874, 874, 874

Verification:

(874 + 874 + 874) / 3 = 2622 / 3 ≈ 874

This solution is correct!

Solution 3:

1571, 512, 539

Verification:

(1571 + 512 + 539) / 3 = 2622 / 3 ≈ 874

This solution is correct!

Solution 4:

1977, 189, 456

Verification:

(1977 + 189 + 456) / 3 = 2622 / 3 ≈ 874

This solution is correct!

Solution 5:

1004, 239, 1379

Verification:

(1004 + 239 + 1379) / 3 = 2622 / 3 ≈ 874

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 = 295What three numbers have an average of 295 ?
(X+Y+Z) / 3 = 349What three numbers have an average of 349 ?
(X+Y+Z) / 3 = 486What three numbers have an average of 486 ?

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