What three numbers have an average of 588?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 588. This means if we add these three numbers together and divide by 3, we should get 588.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 588 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 588 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1764

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1764.

Solution 1:

588, 588, 588

Verification:

(588 + 588 + 588) / 3 = 1764 / 3 ≈ 588

This solution is correct!

Solution 2:

588, 588, 588

Verification:

(588 + 588 + 588) / 3 = 1764 / 3 ≈ 588

This solution is correct!

Solution 3:

717, 668, 379

Verification:

(717 + 668 + 379) / 3 = 1764 / 3 ≈ 588

This solution is correct!

Solution 4:

93, 104, 1567

Verification:

(93 + 104 + 1567) / 3 = 1764 / 3 ≈ 588

This solution is correct!

Solution 5:

1160, 592, 12

Verification:

(1160 + 592 + 12) / 3 = 1764 / 3 ≈ 588

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 = 740What three numbers have an average of 740 ?
(X+Y+Z) / 3 = 470What three numbers have an average of 470 ?
(X+Y+Z) / 3 = 108What three numbers have an average of 108 ?

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