What three numbers have an average of 524?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 524. This means if we add these three numbers together and divide by 3, we should get 524.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 524 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 524 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1572

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1572.

Solution 1:

524, 524, 524

Verification:

(524 + 524 + 524) / 3 = 1572 / 3 ≈ 524

This solution is correct!

Solution 2:

524, 524, 524

Verification:

(524 + 524 + 524) / 3 = 1572 / 3 ≈ 524

This solution is correct!

Solution 3:

83, 936, 553

Verification:

(83 + 936 + 553) / 3 = 1572 / 3 ≈ 524

This solution is correct!

Solution 4:

505, 49, 1018

Verification:

(505 + 49 + 1018) / 3 = 1572 / 3 ≈ 524

This solution is correct!

Solution 5:

52, 262, 1258

Verification:

(52 + 262 + 1258) / 3 = 1572 / 3 ≈ 524

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 = 915What three numbers have an average of 915 ?
(X+Y+Z) / 3 = 58What three numbers have an average of 58 ?
(X+Y+Z) / 3 = 690What three numbers have an average of 690 ?

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