What three numbers have an average of 929?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 929. This means if we add these three numbers together and divide by 3, we should get 929.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 929 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 929 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2787

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2787.

Solution 1:

929, 929, 929

Verification:

(929 + 929 + 929) / 3 = 2787 / 3 ≈ 929

This solution is correct!

Solution 2:

929, 929, 929

Verification:

(929 + 929 + 929) / 3 = 2787 / 3 ≈ 929

This solution is correct!

Solution 3:

2470, 72, 245

Verification:

(2470 + 72 + 245) / 3 = 2787 / 3 ≈ 929

This solution is correct!

Solution 4:

1296, 1320, 171

Verification:

(1296 + 1320 + 171) / 3 = 2787 / 3 ≈ 929

This solution is correct!

Solution 5:

837, 1748, 202

Verification:

(837 + 1748 + 202) / 3 = 2787 / 3 ≈ 929

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 = 973What three numbers have an average of 973 ?
(X+Y+Z) / 3 = 349What three numbers have an average of 349 ?
(X+Y+Z) / 3 = 274What three numbers have an average of 274 ?

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