What three numbers have an average of 955?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 955. This means if we add these three numbers together and divide by 3, we should get 955.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 955 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 955 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2865

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2865.

Solution 1:

955, 955, 955

Verification:

(955 + 955 + 955) / 3 = 2865 / 3 ≈ 955

This solution is correct!

Solution 2:

955, 955, 955

Verification:

(955 + 955 + 955) / 3 = 2865 / 3 ≈ 955

This solution is correct!

Solution 3:

281, 1340, 1244

Verification:

(281 + 1340 + 1244) / 3 = 2865 / 3 ≈ 955

This solution is correct!

Solution 4:

2602, 75, 188

Verification:

(2602 + 75 + 188) / 3 = 2865 / 3 ≈ 955

This solution is correct!

Solution 5:

730, 1198, 937

Verification:

(730 + 1198 + 937) / 3 = 2865 / 3 ≈ 955

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 = 593What three numbers have an average of 593 ?
(X+Y+Z) / 3 = 201What three numbers have an average of 201 ?

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