What three numbers have an average of 986?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 986. This means if we add these three numbers together and divide by 3, we should get 986.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 986 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 986 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2958

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2958.

Solution 1:

986, 986, 986

Verification:

(986 + 986 + 986) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 2:

986, 986, 986

Verification:

(986 + 986 + 986) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 3:

2713, 86, 159

Verification:

(2713 + 86 + 159) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 4:

2755, 134, 69

Verification:

(2755 + 134 + 69) / 3 = 2958 / 3 ≈ 986

This solution is correct!

Solution 5:

1512, 438, 1008

Verification:

(1512 + 438 + 1008) / 3 = 2958 / 3 ≈ 986

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 = 404What three numbers have an average of 404 ?
(X+Y+Z) / 3 = 382What three numbers have an average of 382 ?
(X+Y+Z) / 3 = 50What three numbers have an average of 50 ?

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