What three numbers have an average of 32?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 32. This means if we add these three numbers together and divide by 3, we should get 32.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 32 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 32 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 96

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 96.

Solution 1:

32, 32, 32

Verification:

(32 + 32 + 32) / 3 = 96 / 3 ≈ 32

This solution is correct!

Solution 2:

32, 32, 32

Verification:

(32 + 32 + 32) / 3 = 96 / 3 ≈ 32

This solution is correct!

Solution 3:

58, 19, 19

Verification:

(58 + 19 + 19) / 3 = 96 / 3 ≈ 32

This solution is correct!

Solution 4:

6, 55, 35

Verification:

(6 + 55 + 35) / 3 = 96 / 3 ≈ 32

This solution is correct!

Solution 5:

84, 11, 1

Verification:

(84 + 11 + 1) / 3 = 96 / 3 ≈ 32

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 = 327What three numbers have an average of 327 ?
(X+Y+Z) / 3 = 127What three numbers have an average of 127 ?
(X+Y+Z) / 3 = 986What three numbers have an average of 986 ?

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