What three numbers have an average of 603?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 603. This means if we add these three numbers together and divide by 3, we should get 603.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 603 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 603 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1809

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1809.

Solution 1:

603, 603, 603

Verification:

(603 + 603 + 603) / 3 = 1809 / 3 ≈ 603

This solution is correct!

Solution 2:

603, 603, 603

Verification:

(603 + 603 + 603) / 3 = 1809 / 3 ≈ 603

This solution is correct!

Solution 3:

943, 814, 52

Verification:

(943 + 814 + 52) / 3 = 1809 / 3 ≈ 603

This solution is correct!

Solution 4:

322, 1317, 170

Verification:

(322 + 1317 + 170) / 3 = 1809 / 3 ≈ 603

This solution is correct!

Solution 5:

51, 551, 1207

Verification:

(51 + 551 + 1207) / 3 = 1809 / 3 ≈ 603

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 = 7What three numbers have an average of 7 ?
(X+Y+Z) / 3 = 227What three numbers have an average of 227 ?
(X+Y+Z) / 3 = 425What three numbers have an average of 425 ?

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