What three numbers have an average of 659?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 659. This means if we add these three numbers together and divide by 3, we should get 659.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 659 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 659 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1977

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1977.

Solution 1:

659, 659, 659

Verification:

(659 + 659 + 659) / 3 = 1977 / 3 ≈ 659

This solution is correct!

Solution 2:

659, 659, 659

Verification:

(659 + 659 + 659) / 3 = 1977 / 3 ≈ 659

This solution is correct!

Solution 3:

1214, 428, 335

Verification:

(1214 + 428 + 335) / 3 = 1977 / 3 ≈ 659

This solution is correct!

Solution 4:

1627, 92, 258

Verification:

(1627 + 92 + 258) / 3 = 1977 / 3 ≈ 659

This solution is correct!

Solution 5:

626, 1160, 191

Verification:

(626 + 1160 + 191) / 3 = 1977 / 3 ≈ 659

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 = 210What three numbers have an average of 210 ?
(X+Y+Z) / 3 = 307What three numbers have an average of 307 ?
(X+Y+Z) / 3 = 723What three numbers have an average of 723 ?

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