Viral Math question: Can you solve it?

New Delhi : A maths question has gone viral on social media with people scratching their heads in finding a solution to it. Tagged as a question asked in SAT question, lets see if you can solve it in two minutes?

The SAT exam allows students to solve a problem within two minutes. The key to conquering the math section of the test is knowing how to break down a deliberately confusing question and sift through unnecessary details to quickly find the answer. 

Here is the question:

In a class of p students, the average (arithmetic mean) of the test scores is 70.

In another class of n students, the average of the scores for the same test is 92. 

When the scores of the two classes are combined, the average of the test scores is 86. 

What is the value of p/n?

Can't find a solution? No worries, there are a lot of solutions posted by people. Here is one of them.

The first class had an average of 70. That's 16 points below the average score of 86. In other words, 86 - 70 = 16. Since there are p students in the class, the difference from the average is 16p.

The second class had an average of 92. That's 6 points more than the average of 86. In other words, 92 - 86 = 6. There are n students in this class, so the difference from the average is 6n.

Because these classes average out together (as the problem states, "when the scores of the two classes are combined"), the deficit of points has to be equal to the surplus of points. Therefore 16p is equal to 6n.

Turning that into an equation, we can easily figure out what p/n is:

16p = 6n

p/n = 6/16