What three numbers have an average of 202?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 202. This means if we add these three numbers together and divide by 3, we should get 202.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 202 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 202 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 606

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 606.

Solution 1:

202, 202, 202

Verification:

(202 + 202 + 202) / 3 = 606 / 3 ≈ 202

This solution is correct!

Solution 2:

202, 202, 202

Verification:

(202 + 202 + 202) / 3 = 606 / 3 ≈ 202

This solution is correct!

Solution 3:

499, 38, 69

Verification:

(499 + 38 + 69) / 3 = 606 / 3 ≈ 202

This solution is correct!

Solution 4:

211, 200, 195

Verification:

(211 + 200 + 195) / 3 = 606 / 3 ≈ 202

This solution is correct!

Solution 5:

382, 203, 21

Verification:

(382 + 203 + 21) / 3 = 606 / 3 ≈ 202

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 = 48What three numbers have an average of 48 ?
(X+Y+Z) / 3 = 935What three numbers have an average of 935 ?
(X+Y+Z) / 3 = 264What three numbers have an average of 264 ?

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