What three numbers have an average of 134?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 134. This means if we add these three numbers together and divide by 3, we should get 134.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 134 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 134 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 402

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 402.

Solution 1:

134, 134, 134

Verification:

(134 + 134 + 134) / 3 = 402 / 3 ≈ 134

This solution is correct!

Solution 2:

134, 134, 134

Verification:

(134 + 134 + 134) / 3 = 402 / 3 ≈ 134

This solution is correct!

Solution 3:

155, 155, 92

Verification:

(155 + 155 + 92) / 3 = 402 / 3 ≈ 134

This solution is correct!

Solution 4:

318, 32, 52

Verification:

(318 + 32 + 52) / 3 = 402 / 3 ≈ 134

This solution is correct!

Solution 5:

390, 10, 2

Verification:

(390 + 10 + 2) / 3 = 402 / 3 ≈ 134

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 = 690What three numbers have an average of 690 ?
(X+Y+Z) / 3 = 952What three numbers have an average of 952 ?
(X+Y+Z) / 3 = 547What three numbers have an average of 547 ?

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