What three numbers have an average of 635?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 635. This means if we add these three numbers together and divide by 3, we should get 635.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 635 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 635 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1905

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1905.

Solution 1:

635, 635, 635

Verification:

(635 + 635 + 635) / 3 = 1905 / 3 ≈ 635

This solution is correct!

Solution 2:

635, 635, 635

Verification:

(635 + 635 + 635) / 3 = 1905 / 3 ≈ 635

This solution is correct!

Solution 3:

130, 749, 1026

Verification:

(130 + 749 + 1026) / 3 = 1905 / 3 ≈ 635

This solution is correct!

Solution 4:

1673, 38, 194

Verification:

(1673 + 38 + 194) / 3 = 1905 / 3 ≈ 635

This solution is correct!

Solution 5:

375, 594, 936

Verification:

(375 + 594 + 936) / 3 = 1905 / 3 ≈ 635

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 = 402What three numbers have an average of 402 ?
(X+Y+Z) / 3 = 180What three numbers have an average of 180 ?
(X+Y+Z) / 3 = 712What three numbers have an average of 712 ?

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