What three numbers have an average of 190?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 190. This means if we add these three numbers together and divide by 3, we should get 190.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 190 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 190 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 570

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 570.

Solution 1:

190, 190, 190

Verification:

(190 + 190 + 190) / 3 = 570 / 3 ≈ 190

This solution is correct!

Solution 2:

190, 190, 190

Verification:

(190 + 190 + 190) / 3 = 570 / 3 ≈ 190

This solution is correct!

Solution 3:

185, 25, 360

Verification:

(185 + 25 + 360) / 3 = 570 / 3 ≈ 190

This solution is correct!

Solution 4:

465, 26, 79

Verification:

(465 + 26 + 79) / 3 = 570 / 3 ≈ 190

This solution is correct!

Solution 5:

164, 60, 346

Verification:

(164 + 60 + 346) / 3 = 570 / 3 ≈ 190

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 = 361What three numbers have an average of 361 ?
(X+Y+Z) / 3 = 938What three numbers have an average of 938 ?
(X+Y+Z) / 3 = 434What three numbers have an average of 434 ?

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