What three numbers have an average of 630?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 630. This means if we add these three numbers together and divide by 3, we should get 630.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 630 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 630 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1890

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1890.

Solution 1:

630, 630, 630

Verification:

(630 + 630 + 630) / 3 = 1890 / 3 ≈ 630

This solution is correct!

Solution 2:

630, 630, 630

Verification:

(630 + 630 + 630) / 3 = 1890 / 3 ≈ 630

This solution is correct!

Solution 3:

958, 244, 688

Verification:

(958 + 244 + 688) / 3 = 1890 / 3 ≈ 630

This solution is correct!

Solution 4:

831, 977, 82

Verification:

(831 + 977 + 82) / 3 = 1890 / 3 ≈ 630

This solution is correct!

Solution 5:

583, 599, 708

Verification:

(583 + 599 + 708) / 3 = 1890 / 3 ≈ 630

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 = 116What three numbers have an average of 116 ?
(X+Y+Z) / 3 = 120What three numbers have an average of 120 ?
(X+Y+Z) / 3 = 913What three numbers have an average of 913 ?

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