What three numbers have an average of 842?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 842. This means if we add these three numbers together and divide by 3, we should get 842.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 842 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 842 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2526

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2526.

Solution 1:

842, 842, 842

Verification:

(842 + 842 + 842) / 3 = 2526 / 3 ≈ 842

This solution is correct!

Solution 2:

842, 842, 842

Verification:

(842 + 842 + 842) / 3 = 2526 / 3 ≈ 842

This solution is correct!

Solution 3:

877, 187, 1462

Verification:

(877 + 187 + 1462) / 3 = 2526 / 3 ≈ 842

This solution is correct!

Solution 4:

830, 1037, 659

Verification:

(830 + 1037 + 659) / 3 = 2526 / 3 ≈ 842

This solution is correct!

Solution 5:

448, 1320, 758

Verification:

(448 + 1320 + 758) / 3 = 2526 / 3 ≈ 842

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 = 152What three numbers have an average of 152 ?
(X+Y+Z) / 3 = 286What three numbers have an average of 286 ?
(X+Y+Z) / 3 = 472What three numbers have an average of 472 ?

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