What three numbers have an average of 979?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 979. This means if we add these three numbers together and divide by 3, we should get 979.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 979 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 979 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2937

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2937.

Solution 1:

979, 979, 979

Verification:

(979 + 979 + 979) / 3 = 2937 / 3 ≈ 979

This solution is correct!

Solution 2:

979, 979, 979

Verification:

(979 + 979 + 979) / 3 = 2937 / 3 ≈ 979

This solution is correct!

Solution 3:

1092, 1558, 287

Verification:

(1092 + 1558 + 287) / 3 = 2937 / 3 ≈ 979

This solution is correct!

Solution 4:

656, 804, 1477

Verification:

(656 + 804 + 1477) / 3 = 2937 / 3 ≈ 979

This solution is correct!

Solution 5:

1314, 1043, 580

Verification:

(1314 + 1043 + 580) / 3 = 2937 / 3 ≈ 979

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 = 576What three numbers have an average of 576 ?
(X+Y+Z) / 3 = 665What three numbers have an average of 665 ?
(X+Y+Z) / 3 = 50What three numbers have an average of 50 ?

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