What three numbers have an average of 932?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 932. This means if we add these three numbers together and divide by 3, we should get 932.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 932 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 932 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2796

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2796.

Solution 1:

932, 932, 932

Verification:

(932 + 932 + 932) / 3 = 2796 / 3 ≈ 932

This solution is correct!

Solution 2:

932, 932, 932

Verification:

(932 + 932 + 932) / 3 = 2796 / 3 ≈ 932

This solution is correct!

Solution 3:

861, 883, 1052

Verification:

(861 + 883 + 1052) / 3 = 2796 / 3 ≈ 932

This solution is correct!

Solution 4:

17, 2146, 633

Verification:

(17 + 2146 + 633) / 3 = 2796 / 3 ≈ 932

This solution is correct!

Solution 5:

1771, 730, 295

Verification:

(1771 + 730 + 295) / 3 = 2796 / 3 ≈ 932

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 = 242What three numbers have an average of 242 ?
(X+Y+Z) / 3 = 235What three numbers have an average of 235 ?
(X+Y+Z) / 3 = 459What three numbers have an average of 459 ?

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