What three numbers have an average of 755?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 755. This means if we add these three numbers together and divide by 3, we should get 755.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 755 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 755 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2265

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2265.

Solution 1:

755, 755, 755

Verification:

(755 + 755 + 755) / 3 = 2265 / 3 ≈ 755

This solution is correct!

Solution 2:

755, 755, 755

Verification:

(755 + 755 + 755) / 3 = 2265 / 3 ≈ 755

This solution is correct!

Solution 3:

489, 185, 1591

Verification:

(489 + 185 + 1591) / 3 = 2265 / 3 ≈ 755

This solution is correct!

Solution 4:

1951, 205, 109

Verification:

(1951 + 205 + 109) / 3 = 2265 / 3 ≈ 755

This solution is correct!

Solution 5:

1962, 18, 285

Verification:

(1962 + 18 + 285) / 3 = 2265 / 3 ≈ 755

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 = 546What three numbers have an average of 546 ?
(X+Y+Z) / 3 = 569What three numbers have an average of 569 ?
(X+Y+Z) / 3 = 842What three numbers have an average of 842 ?

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