What three numbers have an average of 530?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 530. This means if we add these three numbers together and divide by 3, we should get 530.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 530 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 530 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1590

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1590.

Solution 1:

530, 530, 530

Verification:

(530 + 530 + 530) / 3 = 1590 / 3 ≈ 530

This solution is correct!

Solution 2:

530, 530, 530

Verification:

(530 + 530 + 530) / 3 = 1590 / 3 ≈ 530

This solution is correct!

Solution 3:

117, 1338, 135

Verification:

(117 + 1338 + 135) / 3 = 1590 / 3 ≈ 530

This solution is correct!

Solution 4:

1350, 5, 235

Verification:

(1350 + 5 + 235) / 3 = 1590 / 3 ≈ 530

This solution is correct!

Solution 5:

1127, 173, 290

Verification:

(1127 + 173 + 290) / 3 = 1590 / 3 ≈ 530

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 = 438What three numbers have an average of 438 ?
(X+Y+Z) / 3 = 122What three numbers have an average of 122 ?
(X+Y+Z) / 3 = 706What three numbers have an average of 706 ?

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