What three numbers have an average of 875?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 875. This means if we add these three numbers together and divide by 3, we should get 875.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 875 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 875 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2625

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2625.

Solution 1:

875, 875, 875

Verification:

(875 + 875 + 875) / 3 = 2625 / 3 ≈ 875

This solution is correct!

Solution 2:

875, 875, 875

Verification:

(875 + 875 + 875) / 3 = 2625 / 3 ≈ 875

This solution is correct!

Solution 3:

1812, 609, 204

Verification:

(1812 + 609 + 204) / 3 = 2625 / 3 ≈ 875

This solution is correct!

Solution 4:

212, 550, 1863

Verification:

(212 + 550 + 1863) / 3 = 2625 / 3 ≈ 875

This solution is correct!

Solution 5:

1129, 433, 1063

Verification:

(1129 + 433 + 1063) / 3 = 2625 / 3 ≈ 875

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 = 258What three numbers have an average of 258 ?
(X+Y+Z) / 3 = 207What three numbers have an average of 207 ?
(X+Y+Z) / 3 = 945What three numbers have an average of 945 ?

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