What three numbers have an average of 753?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 753. This means if we add these three numbers together and divide by 3, we should get 753.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 753 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 753 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2259

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2259.

Solution 1:

753, 753, 753

Verification:

(753 + 753 + 753) / 3 = 2259 / 3 ≈ 753

This solution is correct!

Solution 2:

753, 753, 753

Verification:

(753 + 753 + 753) / 3 = 2259 / 3 ≈ 753

This solution is correct!

Solution 3:

813, 458, 988

Verification:

(813 + 458 + 988) / 3 = 2259 / 3 ≈ 753

This solution is correct!

Solution 4:

891, 746, 622

Verification:

(891 + 746 + 622) / 3 = 2259 / 3 ≈ 753

This solution is correct!

Solution 5:

333, 1639, 287

Verification:

(333 + 1639 + 287) / 3 = 2259 / 3 ≈ 753

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 = 330What three numbers have an average of 330 ?
(X+Y+Z) / 3 = 397What three numbers have an average of 397 ?
(X+Y+Z) / 3 = 156What three numbers have an average of 156 ?

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