What three numbers have an average of 494?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 494. This means if we add these three numbers together and divide by 3, we should get 494.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 494 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 494 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1482

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1482.

Solution 1:

494, 494, 494

Verification:

(494 + 494 + 494) / 3 = 1482 / 3 ≈ 494

This solution is correct!

Solution 2:

494, 494, 494

Verification:

(494 + 494 + 494) / 3 = 1482 / 3 ≈ 494

This solution is correct!

Solution 3:

930, 26, 526

Verification:

(930 + 26 + 526) / 3 = 1482 / 3 ≈ 494

This solution is correct!

Solution 4:

813, 321, 348

Verification:

(813 + 321 + 348) / 3 = 1482 / 3 ≈ 494

This solution is correct!

Solution 5:

832, 418, 232

Verification:

(832 + 418 + 232) / 3 = 1482 / 3 ≈ 494

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 = 940What three numbers have an average of 940 ?
(X+Y+Z) / 3 = 917What three numbers have an average of 917 ?
(X+Y+Z) / 3 = 9What three numbers have an average of 9 ?

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