What three numbers have an average of 183?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 183. This means if we add these three numbers together and divide by 3, we should get 183.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 183 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 183 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 549

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 549.

Solution 1:

183, 183, 183

Verification:

(183 + 183 + 183) / 3 = 549 / 3 ≈ 183

This solution is correct!

Solution 2:

183, 183, 183

Verification:

(183 + 183 + 183) / 3 = 549 / 3 ≈ 183

This solution is correct!

Solution 3:

486, 26, 37

Verification:

(486 + 26 + 37) / 3 = 549 / 3 ≈ 183

This solution is correct!

Solution 4:

33, 469, 47

Verification:

(33 + 469 + 47) / 3 = 549 / 3 ≈ 183

This solution is correct!

Solution 5:

326, 8, 215

Verification:

(326 + 8 + 215) / 3 = 549 / 3 ≈ 183

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 = 550What three numbers have an average of 550 ?
(X+Y+Z) / 3 = 579What three numbers have an average of 579 ?
(X+Y+Z) / 3 = 412What three numbers have an average of 412 ?

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