What three numbers have an average of 319?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 319. This means if we add these three numbers together and divide by 3, we should get 319.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 319 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 319 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 957

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 957.

Solution 1:

319, 319, 319

Verification:

(319 + 319 + 319) / 3 = 957 / 3 ≈ 319

This solution is correct!

Solution 2:

319, 319, 319

Verification:

(319 + 319 + 319) / 3 = 957 / 3 ≈ 319

This solution is correct!

Solution 3:

918, 28, 11

Verification:

(918 + 28 + 11) / 3 = 957 / 3 ≈ 319

This solution is correct!

Solution 4:

174, 613, 170

Verification:

(174 + 613 + 170) / 3 = 957 / 3 ≈ 319

This solution is correct!

Solution 5:

386, 559, 12

Verification:

(386 + 559 + 12) / 3 = 957 / 3 ≈ 319

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 = 651What three numbers have an average of 651 ?
(X+Y+Z) / 3 = 29What three numbers have an average of 29 ?
(X+Y+Z) / 3 = 501What three numbers have an average of 501 ?

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