What three numbers have an average of 290?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 290. This means if we add these three numbers together and divide by 3, we should get 290.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 290 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 290 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 870

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 870.

Solution 1:

290, 290, 290

Verification:

(290 + 290 + 290) / 3 = 870 / 3 ≈ 290

This solution is correct!

Solution 2:

290, 290, 290

Verification:

(290 + 290 + 290) / 3 = 870 / 3 ≈ 290

This solution is correct!

Solution 3:

689, 132, 49

Verification:

(689 + 132 + 49) / 3 = 870 / 3 ≈ 290

This solution is correct!

Solution 4:

100, 668, 102

Verification:

(100 + 668 + 102) / 3 = 870 / 3 ≈ 290

This solution is correct!

Solution 5:

244, 336, 290

Verification:

(244 + 336 + 290) / 3 = 870 / 3 ≈ 290

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 = 552What three numbers have an average of 552 ?
(X+Y+Z) / 3 = 883What three numbers have an average of 883 ?
(X+Y+Z) / 3 = 41What three numbers have an average of 41 ?

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