What three numbers have an average of 518?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 518. This means if we add these three numbers together and divide by 3, we should get 518.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 518 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 518 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1554

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1554.

Solution 1:

518, 518, 518

Verification:

(518 + 518 + 518) / 3 = 1554 / 3 ≈ 518

This solution is correct!

Solution 2:

518, 518, 518

Verification:

(518 + 518 + 518) / 3 = 1554 / 3 ≈ 518

This solution is correct!

Solution 3:

1233, 160, 161

Verification:

(1233 + 160 + 161) / 3 = 1554 / 3 ≈ 518

This solution is correct!

Solution 4:

444, 558, 552

Verification:

(444 + 558 + 552) / 3 = 1554 / 3 ≈ 518

This solution is correct!

Solution 5:

428, 373, 753

Verification:

(428 + 373 + 753) / 3 = 1554 / 3 ≈ 518

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 = 43What three numbers have an average of 43 ?
(X+Y+Z) / 3 = 205What three numbers have an average of 205 ?
(X+Y+Z) / 3 = 930What three numbers have an average of 930 ?

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