What three numbers have an average of 750?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 750. This means if we add these three numbers together and divide by 3, we should get 750.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 750 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 750 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2250

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2250.

Solution 1:

750, 750, 750

Verification:

(750 + 750 + 750) / 3 = 2250 / 3 ≈ 750

This solution is correct!

Solution 2:

750, 750, 750

Verification:

(750 + 750 + 750) / 3 = 2250 / 3 ≈ 750

This solution is correct!

Solution 3:

1863, 300, 87

Verification:

(1863 + 300 + 87) / 3 = 2250 / 3 ≈ 750

This solution is correct!

Solution 4:

413, 275, 1562

Verification:

(413 + 275 + 1562) / 3 = 2250 / 3 ≈ 750

This solution is correct!

Solution 5:

1721, 83, 446

Verification:

(1721 + 83 + 446) / 3 = 2250 / 3 ≈ 750

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 = 228What three numbers have an average of 228 ?
(X+Y+Z) / 3 = 770What three numbers have an average of 770 ?
(X+Y+Z) / 3 = 391What three numbers have an average of 391 ?

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