What three numbers have an average of 853?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 853. This means if we add these three numbers together and divide by 3, we should get 853.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 853 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 853 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2559

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2559.

Solution 1:

853, 853, 853

Verification:

(853 + 853 + 853) / 3 = 2559 / 3 ≈ 853

This solution is correct!

Solution 2:

853, 853, 853

Verification:

(853 + 853 + 853) / 3 = 2559 / 3 ≈ 853

This solution is correct!

Solution 3:

1976, 461, 122

Verification:

(1976 + 461 + 122) / 3 = 2559 / 3 ≈ 853

This solution is correct!

Solution 4:

1971, 514, 74

Verification:

(1971 + 514 + 74) / 3 = 2559 / 3 ≈ 853

This solution is correct!

Solution 5:

312, 57, 2190

Verification:

(312 + 57 + 2190) / 3 = 2559 / 3 ≈ 853

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 = 106What three numbers have an average of 106 ?
(X+Y+Z) / 3 = 995What three numbers have an average of 995 ?
(X+Y+Z) / 3 = 749What three numbers have an average of 749 ?

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