What three numbers have an average of 370?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 370. This means if we add these three numbers together and divide by 3, we should get 370.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 370 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 370 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1110

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1110.

Solution 1:

370, 370, 370

Verification:

(370 + 370 + 370) / 3 = 1110 / 3 ≈ 370

This solution is correct!

Solution 2:

370, 370, 370

Verification:

(370 + 370 + 370) / 3 = 1110 / 3 ≈ 370

This solution is correct!

Solution 3:

697, 110, 303

Verification:

(697 + 110 + 303) / 3 = 1110 / 3 ≈ 370

This solution is correct!

Solution 4:

208, 424, 478

Verification:

(208 + 424 + 478) / 3 = 1110 / 3 ≈ 370

This solution is correct!

Solution 5:

211, 76, 823

Verification:

(211 + 76 + 823) / 3 = 1110 / 3 ≈ 370

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 = 971What three numbers have an average of 971 ?
(X+Y+Z) / 3 = 106What three numbers have an average of 106 ?
(X+Y+Z) / 3 = 191What three numbers have an average of 191 ?

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