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:

289, 660, 875

Verification:

(289 + 660 + 875) / 3 = 1824 / 3 ≈ 608

This solution is correct!

Solution 4:

859, 681, 284

Verification:

(859 + 681 + 284) / 3 = 1824 / 3 ≈ 608

This solution is correct!

Solution 5:

868, 168, 788

Verification:

(868 + 168 + 788) / 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 = 257What three numbers have an average of 257 ?
(X+Y+Z) / 3 = 432What three numbers have an average of 432 ?
(X+Y+Z) / 3 = 279What three numbers have an average of 279 ?

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