What three numbers have an average of 852?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 852. This means if we add these three numbers together and divide by 3, we should get 852.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 852 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 852 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2556

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2556.

Solution 1:

852, 852, 852

Verification:

(852 + 852 + 852) / 3 = 2556 / 3 ≈ 852

This solution is correct!

Solution 2:

852, 852, 852

Verification:

(852 + 852 + 852) / 3 = 2556 / 3 ≈ 852

This solution is correct!

Solution 3:

1133, 931, 492

Verification:

(1133 + 931 + 492) / 3 = 2556 / 3 ≈ 852

This solution is correct!

Solution 4:

849, 1398, 309

Verification:

(849 + 1398 + 309) / 3 = 2556 / 3 ≈ 852

This solution is correct!

Solution 5:

682, 1820, 54

Verification:

(682 + 1820 + 54) / 3 = 2556 / 3 ≈ 852

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 = 58What three numbers have an average of 58 ?
(X+Y+Z) / 3 = 990What three numbers have an average of 990 ?
(X+Y+Z) / 3 = 890What three numbers have an average of 890 ?

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