What three numbers have an average of 44?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 44. This means if we add these three numbers together and divide by 3, we should get 44.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 44 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 44 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 132

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 132.

Solution 1:

44, 44, 44

Verification:

(44 + 44 + 44) / 3 = 132 / 3 ≈ 44

This solution is correct!

Solution 2:

44, 44, 44

Verification:

(44 + 44 + 44) / 3 = 132 / 3 ≈ 44

This solution is correct!

Solution 3:

100, 24, 8

Verification:

(100 + 24 + 8) / 3 = 132 / 3 ≈ 44

This solution is correct!

Solution 4:

36, 6, 90

Verification:

(36 + 6 + 90) / 3 = 132 / 3 ≈ 44

This solution is correct!

Solution 5:

64, 50, 18

Verification:

(64 + 50 + 18) / 3 = 132 / 3 ≈ 44

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 = 105What three numbers have an average of 105 ?
(X+Y+Z) / 3 = 174What three numbers have an average of 174 ?
(X+Y+Z) / 3 = 965What three numbers have an average of 965 ?

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