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:

51, 296, 55

Verification:

(51 + 296 + 55) / 3 = 402 / 3 ≈ 134

This solution is correct!

Solution 4:

126, 189, 87

Verification:

(126 + 189 + 87) / 3 = 402 / 3 ≈ 134

This solution is correct!

Solution 5:

274, 72, 56

Verification:

(274 + 72 + 56) / 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 = 67What three numbers have an average of 67 ?
(X+Y+Z) / 3 = 958What three numbers have an average of 958 ?
(X+Y+Z) / 3 = 95What three numbers have an average of 95 ?

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