What three numbers have an average of 340?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 340. This means if we add these three numbers together and divide by 3, we should get 340.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 340 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 340 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1020

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1020.

Solution 1:

340, 340, 340

Verification:

(340 + 340 + 340) / 3 = 1020 / 3 ≈ 340

This solution is correct!

Solution 2:

340, 340, 340

Verification:

(340 + 340 + 340) / 3 = 1020 / 3 ≈ 340

This solution is correct!

Solution 3:

135, 202, 683

Verification:

(135 + 202 + 683) / 3 = 1020 / 3 ≈ 340

This solution is correct!

Solution 4:

439, 358, 223

Verification:

(439 + 358 + 223) / 3 = 1020 / 3 ≈ 340

This solution is correct!

Solution 5:

536, 434, 50

Verification:

(536 + 434 + 50) / 3 = 1020 / 3 ≈ 340

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 = 455What three numbers have an average of 455 ?
(X+Y+Z) / 3 = 126What three numbers have an average of 126 ?
(X+Y+Z) / 3 = 492What three numbers have an average of 492 ?

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