What three numbers have an average of 748?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 748. This means if we add these three numbers together and divide by 3, we should get 748.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 748 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 748 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2244

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2244.

Solution 1:

748, 748, 748

Verification:

(748 + 748 + 748) / 3 = 2244 / 3 ≈ 748

This solution is correct!

Solution 2:

748, 748, 748

Verification:

(748 + 748 + 748) / 3 = 2244 / 3 ≈ 748

This solution is correct!

Solution 3:

2222, 11, 11

Verification:

(2222 + 11 + 11) / 3 = 2244 / 3 ≈ 748

This solution is correct!

Solution 4:

739, 1261, 244

Verification:

(739 + 1261 + 244) / 3 = 2244 / 3 ≈ 748

This solution is correct!

Solution 5:

2118, 9, 117

Verification:

(2118 + 9 + 117) / 3 = 2244 / 3 ≈ 748

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 = 497What three numbers have an average of 497 ?
(X+Y+Z) / 3 = 393What three numbers have an average of 393 ?
(X+Y+Z) / 3 = 538What three numbers have an average of 538 ?

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