What three numbers have an average of 752?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 752. This means if we add these three numbers together and divide by 3, we should get 752.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 752 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 752 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2256

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2256.

Solution 1:

752, 752, 752

Verification:

(752 + 752 + 752) / 3 = 2256 / 3 ≈ 752

This solution is correct!

Solution 2:

752, 752, 752

Verification:

(752 + 752 + 752) / 3 = 2256 / 3 ≈ 752

This solution is correct!

Solution 3:

34, 2059, 163

Verification:

(34 + 2059 + 163) / 3 = 2256 / 3 ≈ 752

This solution is correct!

Solution 4:

1601, 393, 262

Verification:

(1601 + 393 + 262) / 3 = 2256 / 3 ≈ 752

This solution is correct!

Solution 5:

1264, 444, 548

Verification:

(1264 + 444 + 548) / 3 = 2256 / 3 ≈ 752

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 = 331What three numbers have an average of 331 ?
(X+Y+Z) / 3 = 744What three numbers have an average of 744 ?
(X+Y+Z) / 3 = 216What three numbers have an average of 216 ?

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