What three numbers have an average of 10?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 10. This means if we add these three numbers together and divide by 3, we should get 10.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 10 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 10 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 30

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 30.

Solution 1:

10, 10, 10

Verification:

(10 + 10 + 10) / 3 = 30 / 3 ≈ 10

This solution is correct!

Solution 2:

10, 10, 10

Verification:

(10 + 10 + 10) / 3 = 30 / 3 ≈ 10

This solution is correct!

Solution 3:

7, 14, 9

Verification:

(7 + 14 + 9) / 3 = 30 / 3 ≈ 10

This solution is correct!

Solution 4:

7, 21, 2

Verification:

(7 + 21 + 2) / 3 = 30 / 3 ≈ 10

This solution is correct!

Solution 5:

2, 12, 16

Verification:

(2 + 12 + 16) / 3 = 30 / 3 ≈ 10

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 = 448What three numbers have an average of 448 ?
(X+Y+Z) / 3 = 892What three numbers have an average of 892 ?
(X+Y+Z) / 3 = 828What three numbers have an average of 828 ?

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