What three numbers have an average of 958?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 958. This means if we add these three numbers together and divide by 3, we should get 958.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 958 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 958 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2874

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2874.

Solution 1:

958, 958, 958

Verification:

(958 + 958 + 958) / 3 = 2874 / 3 ≈ 958

This solution is correct!

Solution 2:

958, 958, 958

Verification:

(958 + 958 + 958) / 3 = 2874 / 3 ≈ 958

This solution is correct!

Solution 3:

1616, 909, 349

Verification:

(1616 + 909 + 349) / 3 = 2874 / 3 ≈ 958

This solution is correct!

Solution 4:

107, 159, 2608

Verification:

(107 + 159 + 2608) / 3 = 2874 / 3 ≈ 958

This solution is correct!

Solution 5:

1805, 627, 442

Verification:

(1805 + 627 + 442) / 3 = 2874 / 3 ≈ 958

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 = 244What three numbers have an average of 244 ?
(X+Y+Z) / 3 = 72What three numbers have an average of 72 ?
(X+Y+Z) / 3 = 832What three numbers have an average of 832 ?

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