What three numbers have an average of 703?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 703. This means if we add these three numbers together and divide by 3, we should get 703.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 703 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 703 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2109

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2109.

Solution 1:

703, 703, 703

Verification:

(703 + 703 + 703) / 3 = 2109 / 3 ≈ 703

This solution is correct!

Solution 2:

703, 703, 703

Verification:

(703 + 703 + 703) / 3 = 2109 / 3 ≈ 703

This solution is correct!

Solution 3:

887, 1208, 14

Verification:

(887 + 1208 + 14) / 3 = 2109 / 3 ≈ 703

This solution is correct!

Solution 4:

340, 1696, 73

Verification:

(340 + 1696 + 73) / 3 = 2109 / 3 ≈ 703

This solution is correct!

Solution 5:

1019, 698, 392

Verification:

(1019 + 698 + 392) / 3 = 2109 / 3 ≈ 703

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 = 275What three numbers have an average of 275 ?
(X+Y+Z) / 3 = 361What three numbers have an average of 361 ?
(X+Y+Z) / 3 = 48What three numbers have an average of 48 ?

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