What three numbers have an average of 980?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 980. This means if we add these three numbers together and divide by 3, we should get 980.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 980 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 980 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2940

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2940.

Solution 1:

980, 980, 980

Verification:

(980 + 980 + 980) / 3 = 2940 / 3 ≈ 980

This solution is correct!

Solution 2:

980, 980, 980

Verification:

(980 + 980 + 980) / 3 = 2940 / 3 ≈ 980

This solution is correct!

Solution 3:

2501, 30, 409

Verification:

(2501 + 30 + 409) / 3 = 2940 / 3 ≈ 980

This solution is correct!

Solution 4:

289, 9, 2642

Verification:

(289 + 9 + 2642) / 3 = 2940 / 3 ≈ 980

This solution is correct!

Solution 5:

173, 1586, 1181

Verification:

(173 + 1586 + 1181) / 3 = 2940 / 3 ≈ 980

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 = 583What three numbers have an average of 583 ?
(X+Y+Z) / 3 = 507What three numbers have an average of 507 ?
(X+Y+Z) / 3 = 928What three numbers have an average of 928 ?

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