What three numbers have an average of 526?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 526. This means if we add these three numbers together and divide by 3, we should get 526.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 526 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 526 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1578

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1578.

Solution 1:

526, 526, 526

Verification:

(526 + 526 + 526) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 2:

526, 526, 526

Verification:

(526 + 526 + 526) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 3:

1014, 394, 170

Verification:

(1014 + 394 + 170) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 4:

765, 31, 782

Verification:

(765 + 31 + 782) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 5:

1352, 143, 83

Verification:

(1352 + 143 + 83) / 3 = 1578 / 3 ≈ 526

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 = 164What three numbers have an average of 164 ?
(X+Y+Z) / 3 = 416What three numbers have an average of 416 ?
(X+Y+Z) / 3 = 355What three numbers have an average of 355 ?

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