What three numbers have an average of 880?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 880. This means if we add these three numbers together and divide by 3, we should get 880.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 880 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 880 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2640

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2640.

Solution 1:

880, 880, 880

Verification:

(880 + 880 + 880) / 3 = 2640 / 3 ≈ 880

This solution is correct!

Solution 2:

880, 880, 880

Verification:

(880 + 880 + 880) / 3 = 2640 / 3 ≈ 880

This solution is correct!

Solution 3:

526, 1188, 926

Verification:

(526 + 1188 + 926) / 3 = 2640 / 3 ≈ 880

This solution is correct!

Solution 4:

2201, 171, 268

Verification:

(2201 + 171 + 268) / 3 = 2640 / 3 ≈ 880

This solution is correct!

Solution 5:

1706, 728, 206

Verification:

(1706 + 728 + 206) / 3 = 2640 / 3 ≈ 880

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 = 896What three numbers have an average of 896 ?
(X+Y+Z) / 3 = 541What three numbers have an average of 541 ?
(X+Y+Z) / 3 = 903What three numbers have an average of 903 ?

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