What three numbers have an average of 902?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 902. This means if we add these three numbers together and divide by 3, we should get 902.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 902 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 902 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2706

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2706.

Solution 1:

902, 902, 902

Verification:

(902 + 902 + 902) / 3 = 2706 / 3 ≈ 902

This solution is correct!

Solution 2:

902, 902, 902

Verification:

(902 + 902 + 902) / 3 = 2706 / 3 ≈ 902

This solution is correct!

Solution 3:

1782, 593, 331

Verification:

(1782 + 593 + 331) / 3 = 2706 / 3 ≈ 902

This solution is correct!

Solution 4:

1566, 962, 178

Verification:

(1566 + 962 + 178) / 3 = 2706 / 3 ≈ 902

This solution is correct!

Solution 5:

2079, 471, 156

Verification:

(2079 + 471 + 156) / 3 = 2706 / 3 ≈ 902

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 = 555What three numbers have an average of 555 ?
(X+Y+Z) / 3 = 728What three numbers have an average of 728 ?
(X+Y+Z) / 3 = 282What three numbers have an average of 282 ?

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