What three numbers have an average of 690?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 690. This means if we add these three numbers together and divide by 3, we should get 690.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 690 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 690 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2070

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2070.

Solution 1:

690, 690, 690

Verification:

(690 + 690 + 690) / 3 = 2070 / 3 ≈ 690

This solution is correct!

Solution 2:

690, 690, 690

Verification:

(690 + 690 + 690) / 3 = 2070 / 3 ≈ 690

This solution is correct!

Solution 3:

1309, 335, 426

Verification:

(1309 + 335 + 426) / 3 = 2070 / 3 ≈ 690

This solution is correct!

Solution 4:

623, 395, 1052

Verification:

(623 + 395 + 1052) / 3 = 2070 / 3 ≈ 690

This solution is correct!

Solution 5:

413, 4, 1653

Verification:

(413 + 4 + 1653) / 3 = 2070 / 3 ≈ 690

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 = 12What three numbers have an average of 12 ?
(X+Y+Z) / 3 = 855What three numbers have an average of 855 ?
(X+Y+Z) / 3 = 911What three numbers have an average of 911 ?

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