What three numbers have an average of 74?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 74. This means if we add these three numbers together and divide by 3, we should get 74.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 74 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 74 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 222

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 222.

Solution 1:

74, 74, 74

Verification:

(74 + 74 + 74) / 3 = 222 / 3 ≈ 74

This solution is correct!

Solution 2:

74, 74, 74

Verification:

(74 + 74 + 74) / 3 = 222 / 3 ≈ 74

This solution is correct!

Solution 3:

173, 10, 39

Verification:

(173 + 10 + 39) / 3 = 222 / 3 ≈ 74

This solution is correct!

Solution 4:

76, 91, 55

Verification:

(76 + 91 + 55) / 3 = 222 / 3 ≈ 74

This solution is correct!

Solution 5:

12, 51, 159

Verification:

(12 + 51 + 159) / 3 = 222 / 3 ≈ 74

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 = 864What three numbers have an average of 864 ?
(X+Y+Z) / 3 = 787What three numbers have an average of 787 ?
(X+Y+Z) / 3 = 387What three numbers have an average of 387 ?

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