What three numbers have an average of 130?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 130. This means if we add these three numbers together and divide by 3, we should get 130.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 130 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 130 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 390

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 390.

Solution 1:

130, 130, 130

Verification:

(130 + 130 + 130) / 3 = 390 / 3 ≈ 130

This solution is correct!

Solution 2:

130, 130, 130

Verification:

(130 + 130 + 130) / 3 = 390 / 3 ≈ 130

This solution is correct!

Solution 3:

344, 20, 26

Verification:

(344 + 20 + 26) / 3 = 390 / 3 ≈ 130

This solution is correct!

Solution 4:

369, 9, 12

Verification:

(369 + 9 + 12) / 3 = 390 / 3 ≈ 130

This solution is correct!

Solution 5:

79, 232, 79

Verification:

(79 + 232 + 79) / 3 = 390 / 3 ≈ 130

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 = 884What three numbers have an average of 884 ?
(X+Y+Z) / 3 = 540What three numbers have an average of 540 ?
(X+Y+Z) / 3 = 839What three numbers have an average of 839 ?

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