What three numbers have an average of 225?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 225. This means if we add these three numbers together and divide by 3, we should get 225.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 225 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 225 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 675

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 675.

Solution 1:

225, 225, 225

Verification:

(225 + 225 + 225) / 3 = 675 / 3 ≈ 225

This solution is correct!

Solution 2:

225, 225, 225

Verification:

(225 + 225 + 225) / 3 = 675 / 3 ≈ 225

This solution is correct!

Solution 3:

64, 579, 32

Verification:

(64 + 579 + 32) / 3 = 675 / 3 ≈ 225

This solution is correct!

Solution 4:

83, 152, 440

Verification:

(83 + 152 + 440) / 3 = 675 / 3 ≈ 225

This solution is correct!

Solution 5:

664, 10, 1

Verification:

(664 + 10 + 1) / 3 = 675 / 3 ≈ 225

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 = 850What three numbers have an average of 850 ?
(X+Y+Z) / 3 = 752What three numbers have an average of 752 ?
(X+Y+Z) / 3 = 658What three numbers have an average of 658 ?

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