What three numbers have an average of 739?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 739. This means if we add these three numbers together and divide by 3, we should get 739.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 739 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 739 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2217

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2217.

Solution 1:

739, 739, 739

Verification:

(739 + 739 + 739) / 3 = 2217 / 3 ≈ 739

This solution is correct!

Solution 2:

739, 739, 739

Verification:

(739 + 739 + 739) / 3 = 2217 / 3 ≈ 739

This solution is correct!

Solution 3:

1549, 256, 412

Verification:

(1549 + 256 + 412) / 3 = 2217 / 3 ≈ 739

This solution is correct!

Solution 4:

770, 904, 543

Verification:

(770 + 904 + 543) / 3 = 2217 / 3 ≈ 739

This solution is correct!

Solution 5:

315, 18, 1884

Verification:

(315 + 18 + 1884) / 3 = 2217 / 3 ≈ 739

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 = 985What three numbers have an average of 985 ?
(X+Y+Z) / 3 = 346What three numbers have an average of 346 ?
(X+Y+Z) / 3 = 819What three numbers have an average of 819 ?

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