What three numbers have an average of 898?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 898. This means if we add these three numbers together and divide by 3, we should get 898.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 898 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 898 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2694

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2694.

Solution 1:

898, 898, 898

Verification:

(898 + 898 + 898) / 3 = 2694 / 3 ≈ 898

This solution is correct!

Solution 2:

898, 898, 898

Verification:

(898 + 898 + 898) / 3 = 2694 / 3 ≈ 898

This solution is correct!

Solution 3:

1524, 438, 732

Verification:

(1524 + 438 + 732) / 3 = 2694 / 3 ≈ 898

This solution is correct!

Solution 4:

1355, 620, 719

Verification:

(1355 + 620 + 719) / 3 = 2694 / 3 ≈ 898

This solution is correct!

Solution 5:

416, 946, 1332

Verification:

(416 + 946 + 1332) / 3 = 2694 / 3 ≈ 898

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 = 160What three numbers have an average of 160 ?
(X+Y+Z) / 3 = 663What three numbers have an average of 663 ?
(X+Y+Z) / 3 = 70What three numbers have an average of 70 ?

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