Last 5 Months to CAT 🥳 Get upto 65% Off on courses by a 5-time 100%iler. Enroll now
Edit MetaData
The total number of integers pairs (x, y) satisfying the equation x + y = xy is
0
1
2
None of the above
xy = x + y
=> xy - x - y = 0
=> xy - x - y + 1 = 1
=> (x - 1) (y - 1) = 1
=> Both x - 1 and y - 1 have to be equal to 1 or -1.
So, values taken by (x,y) are (2,2) and (0,0).
=> 2 solutions
Hi. Instead of doing it this way, I divided both sides by xy to get 1/x + 1/y = 1. I marked 1 as the answer because as per this equation only one solution -- ie 2,2 can exist. Can you please clarify
Hi Anushka,When you divide it by xy, it will eliminate (0, 0) case.Thanks
Create a FREE account and get:
CAT 2D & 3D LR
CAT Data Interpretation Basics
CAT Truth Lie Concept
CAT Quant Based LR
CAT Venn Diagrams
CAT Miscellaneous LR
CAT DI with connected data sets
CAT Maxima-Minima
CAT Data Interpretation
CAT Coins and Weights
CAT Selection With Condition
CAT Puzzles
CAT Arrangement
CAT Games and Tournamnents
CAT Routes And Networks
CAT Special Charts
CAT Quant Based DI
CAT Scheduling
CAT Table based DI Sets
CAT Data change over a period
CAT Charts
CAT DI Miscellaneous
Login to your Cracku account.
Enter Valid Email
Follow us on
Incase of any issue contact support@cracku.in
Boost your Prep!
Join cracku.in for Expert Guidance.