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:

850, 526, 874

Verification:

(850 + 526 + 874) / 3 = 2250 / 3 ≈ 750

This solution is correct!

Solution 4:

1514, 90, 646

Verification:

(1514 + 90 + 646) / 3 = 2250 / 3 ≈ 750

This solution is correct!

Solution 5:

820, 229, 1201

Verification:

(820 + 229 + 1201) / 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 = 363What three numbers have an average of 363 ?
(X+Y+Z) / 3 = 979What three numbers have an average of 979 ?
(X+Y+Z) / 3 = 43What three numbers have an average of 43 ?

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