What three numbers have an average of 93?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 93. This means if we add these three numbers together and divide by 3, we should get 93.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 93 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 93 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 279

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 279.

Solution 1:

93, 93, 93

Verification:

(93 + 93 + 93) / 3 = 279 / 3 ≈ 93

This solution is correct!

Solution 2:

93, 93, 93

Verification:

(93 + 93 + 93) / 3 = 279 / 3 ≈ 93

This solution is correct!

Solution 3:

161, 58, 60

Verification:

(161 + 58 + 60) / 3 = 279 / 3 ≈ 93

This solution is correct!

Solution 4:

192, 68, 19

Verification:

(192 + 68 + 19) / 3 = 279 / 3 ≈ 93

This solution is correct!

Solution 5:

155, 22, 102

Verification:

(155 + 22 + 102) / 3 = 279 / 3 ≈ 93

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 = 12What three numbers have an average of 12 ?
(X+Y+Z) / 3 = 298What three numbers have an average of 298 ?
(X+Y+Z) / 3 = 608What three numbers have an average of 608 ?

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