What three numbers have an average of 702?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 702. This means if we add these three numbers together and divide by 3, we should get 702.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 702 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 702 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2106

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2106.

Solution 1:

702, 702, 702

Verification:

(702 + 702 + 702) / 3 = 2106 / 3 ≈ 702

This solution is correct!

Solution 2:

702, 702, 702

Verification:

(702 + 702 + 702) / 3 = 2106 / 3 ≈ 702

This solution is correct!

Solution 3:

980, 120, 1006

Verification:

(980 + 120 + 1006) / 3 = 2106 / 3 ≈ 702

This solution is correct!

Solution 4:

1086, 46, 974

Verification:

(1086 + 46 + 974) / 3 = 2106 / 3 ≈ 702

This solution is correct!

Solution 5:

1290, 512, 304

Verification:

(1290 + 512 + 304) / 3 = 2106 / 3 ≈ 702

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 = 770What three numbers have an average of 770 ?
(X+Y+Z) / 3 = 335What three numbers have an average of 335 ?
(X+Y+Z) / 3 = 418What three numbers have an average of 418 ?

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