What three numbers have an average of 52?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 52. This means if we add these three numbers together and divide by 3, we should get 52.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 52 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 52 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 156

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 156.

Solution 1:

52, 52, 52

Verification:

(52 + 52 + 52) / 3 = 156 / 3 ≈ 52

This solution is correct!

Solution 2:

52, 52, 52

Verification:

(52 + 52 + 52) / 3 = 156 / 3 ≈ 52

This solution is correct!

Solution 3:

119, 12, 25

Verification:

(119 + 12 + 25) / 3 = 156 / 3 ≈ 52

This solution is correct!

Solution 4:

122, 23, 11

Verification:

(122 + 23 + 11) / 3 = 156 / 3 ≈ 52

This solution is correct!

Solution 5:

154, 1, 1

Verification:

(154 + 1 + 1) / 3 = 156 / 3 ≈ 52

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 = 724What three numbers have an average of 724 ?
(X+Y+Z) / 3 = 395What three numbers have an average of 395 ?
(X+Y+Z) / 3 = 63What three numbers have an average of 63 ?

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