What three numbers have an average of 545?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 545. This means if we add these three numbers together and divide by 3, we should get 545.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 545 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 545 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1635

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1635.

Solution 1:

545, 545, 545

Verification:

(545 + 545 + 545) / 3 = 1635 / 3 ≈ 545

This solution is correct!

Solution 2:

545, 545, 545

Verification:

(545 + 545 + 545) / 3 = 1635 / 3 ≈ 545

This solution is correct!

Solution 3:

886, 91, 658

Verification:

(886 + 91 + 658) / 3 = 1635 / 3 ≈ 545

This solution is correct!

Solution 4:

386, 452, 797

Verification:

(386 + 452 + 797) / 3 = 1635 / 3 ≈ 545

This solution is correct!

Solution 5:

941, 264, 430

Verification:

(941 + 264 + 430) / 3 = 1635 / 3 ≈ 545

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 = 711What three numbers have an average of 711 ?
(X+Y+Z) / 3 = 516What three numbers have an average of 516 ?
(X+Y+Z) / 3 = 241What three numbers have an average of 241 ?

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