What three numbers have an average of 600?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 600. This means if we add these three numbers together and divide by 3, we should get 600.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 600 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 600 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1800

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1800.

Solution 1:

600, 600, 600

Verification:

(600 + 600 + 600) / 3 = 1800 / 3 ≈ 600

This solution is correct!

Solution 2:

600, 600, 600

Verification:

(600 + 600 + 600) / 3 = 1800 / 3 ≈ 600

This solution is correct!

Solution 3:

1281, 217, 302

Verification:

(1281 + 217 + 302) / 3 = 1800 / 3 ≈ 600

This solution is correct!

Solution 4:

433, 1291, 76

Verification:

(433 + 1291 + 76) / 3 = 1800 / 3 ≈ 600

This solution is correct!

Solution 5:

1715, 77, 8

Verification:

(1715 + 77 + 8) / 3 = 1800 / 3 ≈ 600

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 = 875What three numbers have an average of 875 ?
(X+Y+Z) / 3 = 686What three numbers have an average of 686 ?
(X+Y+Z) / 3 = 240What three numbers have an average of 240 ?

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