What three numbers have an average of 133?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 133. This means if we add these three numbers together and divide by 3, we should get 133.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 133 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 133 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 399

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 399.

Solution 1:

133, 133, 133

Verification:

(133 + 133 + 133) / 3 = 399 / 3 ≈ 133

This solution is correct!

Solution 2:

133, 133, 133

Verification:

(133 + 133 + 133) / 3 = 399 / 3 ≈ 133

This solution is correct!

Solution 3:

385, 5, 9

Verification:

(385 + 5 + 9) / 3 = 399 / 3 ≈ 133

This solution is correct!

Solution 4:

71, 227, 101

Verification:

(71 + 227 + 101) / 3 = 399 / 3 ≈ 133

This solution is correct!

Solution 5:

160, 211, 28

Verification:

(160 + 211 + 28) / 3 = 399 / 3 ≈ 133

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 = 672What three numbers have an average of 672 ?
(X+Y+Z) / 3 = 946What three numbers have an average of 946 ?
(X+Y+Z) / 3 = 88What three numbers have an average of 88 ?

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