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:

57, 35, 514

Verification:

(57 + 35 + 514) / 3 = 606 / 3 ≈ 202

This solution is correct!

Solution 4:

159, 80, 367

Verification:

(159 + 80 + 367) / 3 = 606 / 3 ≈ 202

This solution is correct!

Solution 5:

93, 155, 358

Verification:

(93 + 155 + 358) / 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 = 830What three numbers have an average of 830 ?
(X+Y+Z) / 3 = 969What three numbers have an average of 969 ?
(X+Y+Z) / 3 = 814What three numbers have an average of 814 ?

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