3x+4y = 60 it's a straight line equation whose x intercept is 20 and y intercept is 15. Draw it in first quadrant (as x, y are positive integers) now x = (60 - 4y)/3 = 4(15-y)/3 now for y = 1, 2...15 you need to check whether (15-y) is divisible by 3 or not. It's simple y = 3, 6, 9, 12
-Piyush On Sun, Aug 28, 2011 at 6:38 PM, Dave <dave_and_da...@juno.com> wrote: > @Sivaviknesh: The smallest values of x and y are 1. The largest value > of y is (60 - 3) / 4 = 14. Solve for x: x = (60 - 4y) / 3. Since x is > an integer, 60 - 4y must be a multiple of 3. Since 60 - 3y is a > multiple of 3, (60 - 4y) - (60 - 3y) = y must be a multiple of 3. > Thus, y = 3, 6, 9, 12. Then you can solve for the corresponding values > of x. > > Dave > > On Aug 28, 7:46 am, sivaviknesh s <sivavikne...@gmail.com> wrote: > > *Find the number of solutions for 3x+4y=60, if x and y are positive > > integers.* > > > > Is there any standard method for solving these type of ques ..or only > trial > > and error ??? > > > > -- > > Regards, > > $iva > > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Geeks" group. > To post to this group, send email to algogeeks@googlegroups.com. > To unsubscribe from this group, send email to > algogeeks+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/algogeeks?hl=en. > > -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algogeeks@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
