What three numbers have an average of 608?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 608. This means if we add these three numbers together and divide by 3, we should get 608.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 608 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 608 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1824

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1824.

Solution 1:

608, 608, 608

Verification:

(608 + 608 + 608) / 3 = 1824 / 3 ≈ 608

This solution is correct!

Solution 2:

608, 608, 608

Verification:

(608 + 608 + 608) / 3 = 1824 / 3 ≈ 608

This solution is correct!

Solution 3:

498, 471, 855

Verification:

(498 + 471 + 855) / 3 = 1824 / 3 ≈ 608

This solution is correct!

Solution 4:

75, 458, 1291

Verification:

(75 + 458 + 1291) / 3 = 1824 / 3 ≈ 608

This solution is correct!

Solution 5:

122, 675, 1027

Verification:

(122 + 675 + 1027) / 3 = 1824 / 3 ≈ 608

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 = 323What three numbers have an average of 323 ?
(X+Y+Z) / 3 = 819What three numbers have an average of 819 ?
(X+Y+Z) / 3 = 624What three numbers have an average of 624 ?

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