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:

701, 1160, 356

Verification:

(701 + 1160 + 356) / 3 = 2217 / 3 ≈ 739

This solution is correct!

Solution 4:

1666, 230, 321

Verification:

(1666 + 230 + 321) / 3 = 2217 / 3 ≈ 739

This solution is correct!

Solution 5:

1816, 293, 108

Verification:

(1816 + 293 + 108) / 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 = 458What three numbers have an average of 458 ?
(X+Y+Z) / 3 = 305What three numbers have an average of 305 ?
(X+Y+Z) / 3 = 530What three numbers have an average of 530 ?

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