What three numbers have an average of 30?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 30. This means if we add these three numbers together and divide by 3, we should get 30.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 30 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 30 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 90

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 90.

Solution 1:

30, 30, 30

Verification:

(30 + 30 + 30) / 3 = 90 / 3 ≈ 30

This solution is correct!

Solution 2:

30, 30, 30

Verification:

(30 + 30 + 30) / 3 = 90 / 3 ≈ 30

This solution is correct!

Solution 3:

8, 71, 11

Verification:

(8 + 71 + 11) / 3 = 90 / 3 ≈ 30

This solution is correct!

Solution 4:

24, 14, 52

Verification:

(24 + 14 + 52) / 3 = 90 / 3 ≈ 30

This solution is correct!

Solution 5:

85, 2, 3

Verification:

(85 + 2 + 3) / 3 = 90 / 3 ≈ 30

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 = 707What three numbers have an average of 707 ?
(X+Y+Z) / 3 = 252What three numbers have an average of 252 ?
(X+Y+Z) / 3 = 998What three numbers have an average of 998 ?

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