Can You Solve This Viral "CAT-Level" Algebra Challenge?

Описание: In today’s session, we tackle a classic CAT-Level Algebra and Number Theory problem. This type of question frequently appears in competitive exams like CAT, GMAT, GRE, and Math Olympiads.

We are solving for the number of positive integer ordered pairs (x,y) that satisfy the equation:

1/x + 1/y = 1/6


We also dive into the Bonus Challenge: Finding the sum of all possible values of x+y.


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