What three numbers have an average of 521?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 521. This means if we add these three numbers together and divide by 3, we should get 521.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 521 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 521 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1563

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1563.

Solution 1:

521, 521, 521

Verification:

(521 + 521 + 521) / 3 = 1563 / 3 ≈ 521

This solution is correct!

Solution 2:

521, 521, 521

Verification:

(521 + 521 + 521) / 3 = 1563 / 3 ≈ 521

This solution is correct!

Solution 3:

1337, 94, 132

Verification:

(1337 + 94 + 132) / 3 = 1563 / 3 ≈ 521

This solution is correct!

Solution 4:

1433, 115, 15

Verification:

(1433 + 115 + 15) / 3 = 1563 / 3 ≈ 521

This solution is correct!

Solution 5:

100, 1414, 49

Verification:

(100 + 1414 + 49) / 3 = 1563 / 3 ≈ 521

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 = 792What three numbers have an average of 792 ?
(X+Y+Z) / 3 = 820What three numbers have an average of 820 ?
(X+Y+Z) / 3 = 348What three numbers have an average of 348 ?

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