What three numbers have an average of 185?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 185. This means if we add these three numbers together and divide by 3, we should get 185.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 185 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 185 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 555

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 555.

Solution 1:

185, 185, 185

Verification:

(185 + 185 + 185) / 3 = 555 / 3 ≈ 185

This solution is correct!

Solution 2:

185, 185, 185

Verification:

(185 + 185 + 185) / 3 = 555 / 3 ≈ 185

This solution is correct!

Solution 3:

382, 96, 77

Verification:

(382 + 96 + 77) / 3 = 555 / 3 ≈ 185

This solution is correct!

Solution 4:

508, 24, 23

Verification:

(508 + 24 + 23) / 3 = 555 / 3 ≈ 185

This solution is correct!

Solution 5:

183, 237, 135

Verification:

(183 + 237 + 135) / 3 = 555 / 3 ≈ 185

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 = 930What three numbers have an average of 930 ?
(X+Y+Z) / 3 = 203What three numbers have an average of 203 ?
(X+Y+Z) / 3 = 120What three numbers have an average of 120 ?

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