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:

312, 159, 504

Verification:

(312 + 159 + 504) / 3 = 975 / 3 ≈ 325

This solution is correct!

Solution 4:

798, 146, 31

Verification:

(798 + 146 + 31) / 3 = 975 / 3 ≈ 325

This solution is correct!

Solution 5:

386, 576, 13

Verification:

(386 + 576 + 13) / 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 = 141What three numbers have an average of 141 ?
(X+Y+Z) / 3 = 551What three numbers have an average of 551 ?
(X+Y+Z) / 3 = 512What three numbers have an average of 512 ?

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