What three numbers have an average of 884?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 884. This means if we add these three numbers together and divide by 3, we should get 884.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 884 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 884 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2652

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2652.

Solution 1:

884, 884, 884

Verification:

(884 + 884 + 884) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 2:

884, 884, 884

Verification:

(884 + 884 + 884) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 3:

1170, 68, 1414

Verification:

(1170 + 68 + 1414) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 4:

716, 969, 967

Verification:

(716 + 969 + 967) / 3 = 2652 / 3 ≈ 884

This solution is correct!

Solution 5:

378, 1943, 331

Verification:

(378 + 1943 + 331) / 3 = 2652 / 3 ≈ 884

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 = 846What three numbers have an average of 846 ?
(X+Y+Z) / 3 = 198What three numbers have an average of 198 ?
(X+Y+Z) / 3 = 245What three numbers have an average of 245 ?

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