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:

1638, 1153, 5

Verification:

(1638 + 1153 + 5) / 3 = 2796 / 3 ≈ 932

This solution is correct!

Solution 4:

777, 207, 1812

Verification:

(777 + 207 + 1812) / 3 = 2796 / 3 ≈ 932

This solution is correct!

Solution 5:

672, 1408, 716

Verification:

(672 + 1408 + 716) / 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 = 211What three numbers have an average of 211 ?
(X+Y+Z) / 3 = 787What three numbers have an average of 787 ?
(X+Y+Z) / 3 = 722What three numbers have an average of 722 ?

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