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:

544, 41, 411

Verification:

(544 + 41 + 411) / 3 = 996 / 3 ≈ 332

This solution is correct!

Solution 4:

475, 167, 354

Verification:

(475 + 167 + 354) / 3 = 996 / 3 ≈ 332

This solution is correct!

Solution 5:

278, 603, 115

Verification:

(278 + 603 + 115) / 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 = 653What three numbers have an average of 653 ?
(X+Y+Z) / 3 = 148What three numbers have an average of 148 ?
(X+Y+Z) / 3 = 99What three numbers have an average of 99 ?

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