What three numbers have an average of 29?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 29. This means if we add these three numbers together and divide by 3, we should get 29.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 29 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 29 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 87

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 87.

Solution 1:

29, 29, 29

Verification:

(29 + 29 + 29) / 3 = 87 / 3 ≈ 29

This solution is correct!

Solution 2:

29, 29, 29

Verification:

(29 + 29 + 29) / 3 = 87 / 3 ≈ 29

This solution is correct!

Solution 3:

57, 13, 17

Verification:

(57 + 13 + 17) / 3 = 87 / 3 ≈ 29

This solution is correct!

Solution 4:

7, 13, 67

Verification:

(7 + 13 + 67) / 3 = 87 / 3 ≈ 29

This solution is correct!

Solution 5:

76, 1, 10

Verification:

(76 + 1 + 10) / 3 = 87 / 3 ≈ 29

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 = 994What three numbers have an average of 994 ?
(X+Y+Z) / 3 = 473What three numbers have an average of 473 ?
(X+Y+Z) / 3 = 246What three numbers have an average of 246 ?

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