What three numbers have an average of 210?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 210. This means if we add these three numbers together and divide by 3, we should get 210.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 210 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 210 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 630

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 630.

Solution 1:

210, 210, 210

Verification:

(210 + 210 + 210) / 3 = 630 / 3 ≈ 210

This solution is correct!

Solution 2:

210, 210, 210

Verification:

(210 + 210 + 210) / 3 = 630 / 3 ≈ 210

This solution is correct!

Solution 3:

350, 48, 232

Verification:

(350 + 48 + 232) / 3 = 630 / 3 ≈ 210

This solution is correct!

Solution 4:

98, 87, 445

Verification:

(98 + 87 + 445) / 3 = 630 / 3 ≈ 210

This solution is correct!

Solution 5:

170, 103, 357

Verification:

(170 + 103 + 357) / 3 = 630 / 3 ≈ 210

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 = 527What three numbers have an average of 527 ?
(X+Y+Z) / 3 = 732What three numbers have an average of 732 ?
(X+Y+Z) / 3 = 406What three numbers have an average of 406 ?

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