What three numbers have an average of 733?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 733. This means if we add these three numbers together and divide by 3, we should get 733.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 733 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 733 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2199

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2199.

Solution 1:

733, 733, 733

Verification:

(733 + 733 + 733) / 3 = 2199 / 3 ≈ 733

This solution is correct!

Solution 2:

733, 733, 733

Verification:

(733 + 733 + 733) / 3 = 2199 / 3 ≈ 733

This solution is correct!

Solution 3:

1135, 729, 335

Verification:

(1135 + 729 + 335) / 3 = 2199 / 3 ≈ 733

This solution is correct!

Solution 4:

1405, 686, 108

Verification:

(1405 + 686 + 108) / 3 = 2199 / 3 ≈ 733

This solution is correct!

Solution 5:

25, 558, 1616

Verification:

(25 + 558 + 1616) / 3 = 2199 / 3 ≈ 733

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 = 765What three numbers have an average of 765 ?
(X+Y+Z) / 3 = 254What three numbers have an average of 254 ?
(X+Y+Z) / 3 = 822What three numbers have an average of 822 ?

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