What three numbers have an average of 325?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 325. This means if we add these three numbers together and divide by 3, we should get 325.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 325 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 325 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 975

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 975.

Solution 1:

325, 325, 325

Verification:

(325 + 325 + 325) / 3 = 975 / 3 ≈ 325

This solution is correct!

Solution 2:

325, 325, 325

Verification:

(325 + 325 + 325) / 3 = 975 / 3 ≈ 325

This solution is correct!

Solution 3:

651, 75, 249

Verification:

(651 + 75 + 249) / 3 = 975 / 3 ≈ 325

This solution is correct!

Solution 4:

764, 36, 175

Verification:

(764 + 36 + 175) / 3 = 975 / 3 ≈ 325

This solution is correct!

Solution 5:

311, 551, 113

Verification:

(311 + 551 + 113) / 3 = 975 / 3 ≈ 325

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 = 77What three numbers have an average of 77 ?
(X+Y+Z) / 3 = 136What three numbers have an average of 136 ?
(X+Y+Z) / 3 = 362What three numbers have an average of 362 ?

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