What three numbers have an average of 590?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 590. This means if we add these three numbers together and divide by 3, we should get 590.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 590 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 590 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1770

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1770.

Solution 1:

590, 590, 590

Verification:

(590 + 590 + 590) / 3 = 1770 / 3 ≈ 590

This solution is correct!

Solution 2:

590, 590, 590

Verification:

(590 + 590 + 590) / 3 = 1770 / 3 ≈ 590

This solution is correct!

Solution 3:

1261, 463, 46

Verification:

(1261 + 463 + 46) / 3 = 1770 / 3 ≈ 590

This solution is correct!

Solution 4:

322, 155, 1293

Verification:

(322 + 155 + 1293) / 3 = 1770 / 3 ≈ 590

This solution is correct!

Solution 5:

1493, 23, 254

Verification:

(1493 + 23 + 254) / 3 = 1770 / 3 ≈ 590

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 = 186What three numbers have an average of 186 ?
(X+Y+Z) / 3 = 509What three numbers have an average of 509 ?
(X+Y+Z) / 3 = 881What three numbers have an average of 881 ?

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