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:

1097, 265, 198

Verification:

(1097 + 265 + 198) / 3 = 1560 / 3 ≈ 520

This solution is correct!

Solution 4:

1332, 114, 114

Verification:

(1332 + 114 + 114) / 3 = 1560 / 3 ≈ 520

This solution is correct!

Solution 5:

17, 1131, 412

Verification:

(17 + 1131 + 412) / 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 = 953What three numbers have an average of 953 ?
(X+Y+Z) / 3 = 803What three numbers have an average of 803 ?
(X+Y+Z) / 3 = 96What three numbers have an average of 96 ?

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