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:

43, 2, 45

Verification:

(43 + 2 + 45) / 3 = 90 / 3 ≈ 30

This solution is correct!

Solution 4:

42, 44, 4

Verification:

(42 + 44 + 4) / 3 = 90 / 3 ≈ 30

This solution is correct!

Solution 5:

66, 3, 21

Verification:

(66 + 3 + 21) / 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 = 982What three numbers have an average of 982 ?
(X+Y+Z) / 3 = 731What three numbers have an average of 731 ?
(X+Y+Z) / 3 = 687What three numbers have an average of 687 ?

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