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:

32, 1110, 1384

Verification:

(32 + 1110 + 1384) / 3 = 2526 / 3 ≈ 842

This solution is correct!

Solution 4:

15, 1201, 1310

Verification:

(15 + 1201 + 1310) / 3 = 2526 / 3 ≈ 842

This solution is correct!

Solution 5:

2236, 106, 184

Verification:

(2236 + 106 + 184) / 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 = 250What three numbers have an average of 250 ?
(X+Y+Z) / 3 = 251What three numbers have an average of 251 ?
(X+Y+Z) / 3 = 68What three numbers have an average of 68 ?

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