What three numbers have an average of 731?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 731. This means if we add these three numbers together and divide by 3, we should get 731.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 731 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 731 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2193

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2193.

Solution 1:

731, 731, 731

Verification:

(731 + 731 + 731) / 3 = 2193 / 3 ≈ 731

This solution is correct!

Solution 2:

731, 731, 731

Verification:

(731 + 731 + 731) / 3 = 2193 / 3 ≈ 731

This solution is correct!

Solution 3:

2166, 20, 7

Verification:

(2166 + 20 + 7) / 3 = 2193 / 3 ≈ 731

This solution is correct!

Solution 4:

547, 1536, 110

Verification:

(547 + 1536 + 110) / 3 = 2193 / 3 ≈ 731

This solution is correct!

Solution 5:

1242, 1, 950

Verification:

(1242 + 1 + 950) / 3 = 2193 / 3 ≈ 731

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 = 326What three numbers have an average of 326 ?
(X+Y+Z) / 3 = 141What three numbers have an average of 141 ?
(X+Y+Z) / 3 = 879What three numbers have an average of 879 ?

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