What three numbers have an average of 738?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 738. This means if we add these three numbers together and divide by 3, we should get 738.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 738 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 738 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2214

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2214.

Solution 1:

738, 738, 738

Verification:

(738 + 738 + 738) / 3 = 2214 / 3 ≈ 738

This solution is correct!

Solution 2:

738, 738, 738

Verification:

(738 + 738 + 738) / 3 = 2214 / 3 ≈ 738

This solution is correct!

Solution 3:

1103, 408, 703

Verification:

(1103 + 408 + 703) / 3 = 2214 / 3 ≈ 738

This solution is correct!

Solution 4:

913, 573, 728

Verification:

(913 + 573 + 728) / 3 = 2214 / 3 ≈ 738

This solution is correct!

Solution 5:

1188, 244, 782

Verification:

(1188 + 244 + 782) / 3 = 2214 / 3 ≈ 738

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 = 799What three numbers have an average of 799 ?
(X+Y+Z) / 3 = 486What three numbers have an average of 486 ?
(X+Y+Z) / 3 = 202What three numbers have an average of 202 ?

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