What three numbers have an average of 520?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 520. This means if we add these three numbers together and divide by 3, we should get 520.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 520 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 520 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1560

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1560.

Solution 1:

520, 520, 520

Verification:

(520 + 520 + 520) / 3 = 1560 / 3 ≈ 520

This solution is correct!

Solution 2:

520, 520, 520

Verification:

(520 + 520 + 520) / 3 = 1560 / 3 ≈ 520

This solution is correct!

Solution 3:

1169, 309, 82

Verification:

(1169 + 309 + 82) / 3 = 1560 / 3 ≈ 520

This solution is correct!

Solution 4:

958, 307, 295

Verification:

(958 + 307 + 295) / 3 = 1560 / 3 ≈ 520

This solution is correct!

Solution 5:

1155, 53, 352

Verification:

(1155 + 53 + 352) / 3 = 1560 / 3 ≈ 520

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 = 421What three numbers have an average of 421 ?
(X+Y+Z) / 3 = 182What three numbers have an average of 182 ?
(X+Y+Z) / 3 = 98What three numbers have an average of 98 ?

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