What three numbers have an average of 948?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 948. This means if we add these three numbers together and divide by 3, we should get 948.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 948 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 948 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2844

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2844.

Solution 1:

948, 948, 948

Verification:

(948 + 948 + 948) / 3 = 2844 / 3 ≈ 948

This solution is correct!

Solution 2:

948, 948, 948

Verification:

(948 + 948 + 948) / 3 = 2844 / 3 ≈ 948

This solution is correct!

Solution 3:

280, 2434, 130

Verification:

(280 + 2434 + 130) / 3 = 2844 / 3 ≈ 948

This solution is correct!

Solution 4:

1402, 380, 1062

Verification:

(1402 + 380 + 1062) / 3 = 2844 / 3 ≈ 948

This solution is correct!

Solution 5:

2038, 499, 307

Verification:

(2038 + 499 + 307) / 3 = 2844 / 3 ≈ 948

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 = 368What three numbers have an average of 368 ?
(X+Y+Z) / 3 = 64What three numbers have an average of 64 ?
(X+Y+Z) / 3 = 753What three numbers have an average of 753 ?

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