What three numbers have an average of 21?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 21. This means if we add these three numbers together and divide by 3, we should get 21.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 21 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 21 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 63

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 63.

Solution 1:

21, 21, 21

Verification:

(21 + 21 + 21) / 3 = 63 / 3 ≈ 21

This solution is correct!

Solution 2:

21, 21, 21

Verification:

(21 + 21 + 21) / 3 = 63 / 3 ≈ 21

This solution is correct!

Solution 3:

11, 14, 38

Verification:

(11 + 14 + 38) / 3 = 63 / 3 ≈ 21

This solution is correct!

Solution 4:

32, 12, 19

Verification:

(32 + 12 + 19) / 3 = 63 / 3 ≈ 21

This solution is correct!

Solution 5:

21, 30, 12

Verification:

(21 + 30 + 12) / 3 = 63 / 3 ≈ 21

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 = 703What three numbers have an average of 703 ?
(X+Y+Z) / 3 = 479What three numbers have an average of 479 ?
(X+Y+Z) / 3 = 581What three numbers have an average of 581 ?

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