What three numbers have an average of 485?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 485. This means if we add these three numbers together and divide by 3, we should get 485.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 485 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 485 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1455

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1455.

Solution 1:

485, 485, 485

Verification:

(485 + 485 + 485) / 3 = 1455 / 3 ≈ 485

This solution is correct!

Solution 2:

485, 485, 485

Verification:

(485 + 485 + 485) / 3 = 1455 / 3 ≈ 485

This solution is correct!

Solution 3:

314, 155, 986

Verification:

(314 + 155 + 986) / 3 = 1455 / 3 ≈ 485

This solution is correct!

Solution 4:

318, 1064, 73

Verification:

(318 + 1064 + 73) / 3 = 1455 / 3 ≈ 485

This solution is correct!

Solution 5:

1026, 249, 180

Verification:

(1026 + 249 + 180) / 3 = 1455 / 3 ≈ 485

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 = 984What three numbers have an average of 984 ?
(X+Y+Z) / 3 = 924What three numbers have an average of 924 ?
(X+Y+Z) / 3 = 86What three numbers have an average of 86 ?

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