What three numbers have an average of 175?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 175. This means if we add these three numbers together and divide by 3, we should get 175.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 175 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 175 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 525

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 525.

Solution 1:

175, 175, 175

Verification:

(175 + 175 + 175) / 3 = 525 / 3 ≈ 175

This solution is correct!

Solution 2:

175, 175, 175

Verification:

(175 + 175 + 175) / 3 = 525 / 3 ≈ 175

This solution is correct!

Solution 3:

114, 382, 29

Verification:

(114 + 382 + 29) / 3 = 525 / 3 ≈ 175

This solution is correct!

Solution 4:

70, 156, 299

Verification:

(70 + 156 + 299) / 3 = 525 / 3 ≈ 175

This solution is correct!

Solution 5:

419, 7, 99

Verification:

(419 + 7 + 99) / 3 = 525 / 3 ≈ 175

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 = 444What three numbers have an average of 444 ?
(X+Y+Z) / 3 = 608What three numbers have an average of 608 ?
(X+Y+Z) / 3 = 509What three numbers have an average of 509 ?

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