What three numbers have an average of 700?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 700. This means if we add these three numbers together and divide by 3, we should get 700.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 700 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 700 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2100

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2100.

Solution 1:

700, 700, 700

Verification:

(700 + 700 + 700) / 3 = 2100 / 3 ≈ 700

This solution is correct!

Solution 2:

700, 700, 700

Verification:

(700 + 700 + 700) / 3 = 2100 / 3 ≈ 700

This solution is correct!

Solution 3:

38, 872, 1190

Verification:

(38 + 872 + 1190) / 3 = 2100 / 3 ≈ 700

This solution is correct!

Solution 4:

360, 417, 1323

Verification:

(360 + 417 + 1323) / 3 = 2100 / 3 ≈ 700

This solution is correct!

Solution 5:

1509, 22, 569

Verification:

(1509 + 22 + 569) / 3 = 2100 / 3 ≈ 700

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 = 10What three numbers have an average of 10 ?
(X+Y+Z) / 3 = 760What three numbers have an average of 760 ?
(X+Y+Z) / 3 = 91What three numbers have an average of 91 ?

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