What three numbers have an average of 332?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 332. This means if we add these three numbers together and divide by 3, we should get 332.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 332 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 332 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 996

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 996.

Solution 1:

332, 332, 332

Verification:

(332 + 332 + 332) / 3 = 996 / 3 ≈ 332

This solution is correct!

Solution 2:

332, 332, 332

Verification:

(332 + 332 + 332) / 3 = 996 / 3 ≈ 332

This solution is correct!

Solution 3:

931, 35, 30

Verification:

(931 + 35 + 30) / 3 = 996 / 3 ≈ 332

This solution is correct!

Solution 4:

678, 293, 25

Verification:

(678 + 293 + 25) / 3 = 996 / 3 ≈ 332

This solution is correct!

Solution 5:

614, 91, 291

Verification:

(614 + 91 + 291) / 3 = 996 / 3 ≈ 332

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 = 291What three numbers have an average of 291 ?
(X+Y+Z) / 3 = 255What three numbers have an average of 255 ?
(X+Y+Z) / 3 = 877What three numbers have an average of 877 ?

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