What three numbers have an average of 976?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 976. This means if we add these three numbers together and divide by 3, we should get 976.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 976 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 976 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2928

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2928.

Solution 1:

976, 976, 976

Verification:

(976 + 976 + 976) / 3 = 2928 / 3 ≈ 976

This solution is correct!

Solution 2:

976, 976, 976

Verification:

(976 + 976 + 976) / 3 = 2928 / 3 ≈ 976

This solution is correct!

Solution 3:

1561, 876, 491

Verification:

(1561 + 876 + 491) / 3 = 2928 / 3 ≈ 976

This solution is correct!

Solution 4:

621, 2125, 182

Verification:

(621 + 2125 + 182) / 3 = 2928 / 3 ≈ 976

This solution is correct!

Solution 5:

2663, 230, 35

Verification:

(2663 + 230 + 35) / 3 = 2928 / 3 ≈ 976

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 = 580What three numbers have an average of 580 ?
(X+Y+Z) / 3 = 216What three numbers have an average of 216 ?
(X+Y+Z) / 3 = 760What three numbers have an average of 760 ?

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