What three numbers have an average of 665?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 665. This means if we add these three numbers together and divide by 3, we should get 665.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 665 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 665 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1995

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1995.

Solution 1:

665, 665, 665

Verification:

(665 + 665 + 665) / 3 = 1995 / 3 ≈ 665

This solution is correct!

Solution 2:

665, 665, 665

Verification:

(665 + 665 + 665) / 3 = 1995 / 3 ≈ 665

This solution is correct!

Solution 3:

1667, 190, 138

Verification:

(1667 + 190 + 138) / 3 = 1995 / 3 ≈ 665

This solution is correct!

Solution 4:

107, 1569, 319

Verification:

(107 + 1569 + 319) / 3 = 1995 / 3 ≈ 665

This solution is correct!

Solution 5:

1506, 33, 456

Verification:

(1506 + 33 + 456) / 3 = 1995 / 3 ≈ 665

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 = 587What three numbers have an average of 587 ?
(X+Y+Z) / 3 = 661What three numbers have an average of 661 ?
(X+Y+Z) / 3 = 636What three numbers have an average of 636 ?

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