What three numbers have an average of 526?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 526. This means if we add these three numbers together and divide by 3, we should get 526.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 526 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 526 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1578

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1578.

Solution 1:

526, 526, 526

Verification:

(526 + 526 + 526) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 2:

526, 526, 526

Verification:

(526 + 526 + 526) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 3:

328, 90, 1160

Verification:

(328 + 90 + 1160) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 4:

181, 1120, 277

Verification:

(181 + 1120 + 277) / 3 = 1578 / 3 ≈ 526

This solution is correct!

Solution 5:

578, 69, 931

Verification:

(578 + 69 + 931) / 3 = 1578 / 3 ≈ 526

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 = 972What three numbers have an average of 972 ?
(X+Y+Z) / 3 = 869What three numbers have an average of 869 ?
(X+Y+Z) / 3 = 243What three numbers have an average of 243 ?

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