What three numbers have an average of 706?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 706. This means if we add these three numbers together and divide by 3, we should get 706.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 706 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 706 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2118

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2118.

Solution 1:

706, 706, 706

Verification:

(706 + 706 + 706) / 3 = 2118 / 3 ≈ 706

This solution is correct!

Solution 2:

706, 706, 706

Verification:

(706 + 706 + 706) / 3 = 2118 / 3 ≈ 706

This solution is correct!

Solution 3:

48, 1772, 298

Verification:

(48 + 1772 + 298) / 3 = 2118 / 3 ≈ 706

This solution is correct!

Solution 4:

406, 1062, 650

Verification:

(406 + 1062 + 650) / 3 = 2118 / 3 ≈ 706

This solution is correct!

Solution 5:

222, 757, 1139

Verification:

(222 + 757 + 1139) / 3 = 2118 / 3 ≈ 706

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 = 360What three numbers have an average of 360 ?
(X+Y+Z) / 3 = 826What three numbers have an average of 826 ?
(X+Y+Z) / 3 = 278What three numbers have an average of 278 ?

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