What three numbers have an average of 688?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 688. This means if we add these three numbers together and divide by 3, we should get 688.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 688 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 688 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2064

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2064.

Solution 1:

688, 688, 688

Verification:

(688 + 688 + 688) / 3 = 2064 / 3 ≈ 688

This solution is correct!

Solution 2:

688, 688, 688

Verification:

(688 + 688 + 688) / 3 = 2064 / 3 ≈ 688

This solution is correct!

Solution 3:

894, 445, 725

Verification:

(894 + 445 + 725) / 3 = 2064 / 3 ≈ 688

This solution is correct!

Solution 4:

1248, 592, 224

Verification:

(1248 + 592 + 224) / 3 = 2064 / 3 ≈ 688

This solution is correct!

Solution 5:

632, 17, 1415

Verification:

(632 + 17 + 1415) / 3 = 2064 / 3 ≈ 688

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 = 434What three numbers have an average of 434 ?
(X+Y+Z) / 3 = 171What three numbers have an average of 171 ?
(X+Y+Z) / 3 = 80What three numbers have an average of 80 ?

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