What three numbers have an average of 598?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 598. This means if we add these three numbers together and divide by 3, we should get 598.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 598 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 598 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1794

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1794.

Solution 1:

598, 598, 598

Verification:

(598 + 598 + 598) / 3 = 1794 / 3 ≈ 598

This solution is correct!

Solution 2:

598, 598, 598

Verification:

(598 + 598 + 598) / 3 = 1794 / 3 ≈ 598

This solution is correct!

Solution 3:

847, 61, 886

Verification:

(847 + 61 + 886) / 3 = 1794 / 3 ≈ 598

This solution is correct!

Solution 4:

1090, 56, 648

Verification:

(1090 + 56 + 648) / 3 = 1794 / 3 ≈ 598

This solution is correct!

Solution 5:

190, 458, 1146

Verification:

(190 + 458 + 1146) / 3 = 1794 / 3 ≈ 598

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 = 774What three numbers have an average of 774 ?
(X+Y+Z) / 3 = 813What three numbers have an average of 813 ?
(X+Y+Z) / 3 = 727What three numbers have an average of 727 ?

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