What three numbers have an average of 49?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 49. This means if we add these three numbers together and divide by 3, we should get 49.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 49 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 49 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 147

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 147.

Solution 1:

49, 49, 49

Verification:

(49 + 49 + 49) / 3 = 147 / 3 ≈ 49

This solution is correct!

Solution 2:

49, 49, 49

Verification:

(49 + 49 + 49) / 3 = 147 / 3 ≈ 49

This solution is correct!

Solution 3:

103, 21, 23

Verification:

(103 + 21 + 23) / 3 = 147 / 3 ≈ 49

This solution is correct!

Solution 4:

105, 40, 2

Verification:

(105 + 40 + 2) / 3 = 147 / 3 ≈ 49

This solution is correct!

Solution 5:

42, 78, 27

Verification:

(42 + 78 + 27) / 3 = 147 / 3 ≈ 49

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 = 876What three numbers have an average of 876 ?
(X+Y+Z) / 3 = 854What three numbers have an average of 854 ?
(X+Y+Z) / 3 = 840What three numbers have an average of 840 ?

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