What three numbers have an average of 532?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 532. This means if we add these three numbers together and divide by 3, we should get 532.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 532 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 532 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1596

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1596.

Solution 1:

532, 532, 532

Verification:

(532 + 532 + 532) / 3 = 1596 / 3 ≈ 532

This solution is correct!

Solution 2:

532, 532, 532

Verification:

(532 + 532 + 532) / 3 = 1596 / 3 ≈ 532

This solution is correct!

Solution 3:

1485, 109, 2

Verification:

(1485 + 109 + 2) / 3 = 1596 / 3 ≈ 532

This solution is correct!

Solution 4:

915, 239, 442

Verification:

(915 + 239 + 442) / 3 = 1596 / 3 ≈ 532

This solution is correct!

Solution 5:

1277, 309, 10

Verification:

(1277 + 309 + 10) / 3 = 1596 / 3 ≈ 532

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 = 792What three numbers have an average of 792 ?
(X+Y+Z) / 3 = 382What three numbers have an average of 382 ?
(X+Y+Z) / 3 = 490What three numbers have an average of 490 ?

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