What three numbers have an average of 436?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 436. This means if we add these three numbers together and divide by 3, we should get 436.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 436 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 436 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1308

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1308.

Solution 1:

436, 436, 436

Verification:

(436 + 436 + 436) / 3 = 1308 / 3 ≈ 436

This solution is correct!

Solution 2:

436, 436, 436

Verification:

(436 + 436 + 436) / 3 = 1308 / 3 ≈ 436

This solution is correct!

Solution 3:

761, 258, 289

Verification:

(761 + 258 + 289) / 3 = 1308 / 3 ≈ 436

This solution is correct!

Solution 4:

998, 2, 308

Verification:

(998 + 2 + 308) / 3 = 1308 / 3 ≈ 436

This solution is correct!

Solution 5:

315, 789, 204

Verification:

(315 + 789 + 204) / 3 = 1308 / 3 ≈ 436

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 = 214What three numbers have an average of 214 ?
(X+Y+Z) / 3 = 442What three numbers have an average of 442 ?
(X+Y+Z) / 3 = 843What three numbers have an average of 843 ?

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