What three numbers have an average of 954?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 954. This means if we add these three numbers together and divide by 3, we should get 954.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 954 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 954 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2862

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2862.

Solution 1:

954, 954, 954

Verification:

(954 + 954 + 954) / 3 = 2862 / 3 ≈ 954

This solution is correct!

Solution 2:

954, 954, 954

Verification:

(954 + 954 + 954) / 3 = 2862 / 3 ≈ 954

This solution is correct!

Solution 3:

1231, 863, 768

Verification:

(1231 + 863 + 768) / 3 = 2862 / 3 ≈ 954

This solution is correct!

Solution 4:

1533, 1111, 218

Verification:

(1533 + 1111 + 218) / 3 = 2862 / 3 ≈ 954

This solution is correct!

Solution 5:

806, 381, 1675

Verification:

(806 + 381 + 1675) / 3 = 2862 / 3 ≈ 954

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 = 512What three numbers have an average of 512 ?
(X+Y+Z) / 3 = 292What three numbers have an average of 292 ?
(X+Y+Z) / 3 = 124What three numbers have an average of 124 ?

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