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:

860, 351, 385

Verification:

(860 + 351 + 385) / 3 = 1596 / 3 ≈ 532

This solution is correct!

Solution 4:

1209, 358, 29

Verification:

(1209 + 358 + 29) / 3 = 1596 / 3 ≈ 532

This solution is correct!

Solution 5:

37, 1392, 167

Verification:

(37 + 1392 + 167) / 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 = 36What three numbers have an average of 36 ?
(X+Y+Z) / 3 = 383What three numbers have an average of 383 ?
(X+Y+Z) / 3 = 11What three numbers have an average of 11 ?

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