What three numbers have an average of 208?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 208. This means if we add these three numbers together and divide by 3, we should get 208.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 208 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 208 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 624

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 624.

Solution 1:

208, 208, 208

Verification:

(208 + 208 + 208) / 3 = 624 / 3 ≈ 208

This solution is correct!

Solution 2:

208, 208, 208

Verification:

(208 + 208 + 208) / 3 = 624 / 3 ≈ 208

This solution is correct!

Solution 3:

558, 29, 37

Verification:

(558 + 29 + 37) / 3 = 624 / 3 ≈ 208

This solution is correct!

Solution 4:

215, 183, 226

Verification:

(215 + 183 + 226) / 3 = 624 / 3 ≈ 208

This solution is correct!

Solution 5:

460, 10, 154

Verification:

(460 + 10 + 154) / 3 = 624 / 3 ≈ 208

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 = 390What three numbers have an average of 390 ?
(X+Y+Z) / 3 = 889What three numbers have an average of 889 ?
(X+Y+Z) / 3 = 303What three numbers have an average of 303 ?

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