What three numbers have an average of 930?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 930. This means if we add these three numbers together and divide by 3, we should get 930.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 930 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 930 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2790

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2790.

Solution 1:

930, 930, 930

Verification:

(930 + 930 + 930) / 3 = 2790 / 3 ≈ 930

This solution is correct!

Solution 2:

930, 930, 930

Verification:

(930 + 930 + 930) / 3 = 2790 / 3 ≈ 930

This solution is correct!

Solution 3:

1769, 478, 543

Verification:

(1769 + 478 + 543) / 3 = 2790 / 3 ≈ 930

This solution is correct!

Solution 4:

1564, 346, 880

Verification:

(1564 + 346 + 880) / 3 = 2790 / 3 ≈ 930

This solution is correct!

Solution 5:

2370, 255, 165

Verification:

(2370 + 255 + 165) / 3 = 2790 / 3 ≈ 930

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 = 178What three numbers have an average of 178 ?
(X+Y+Z) / 3 = 288What three numbers have an average of 288 ?
(X+Y+Z) / 3 = 734What three numbers have an average of 734 ?

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