@Harhsit: Normally, 0 is not considered positive. Dave
On Aug 28, 10:45 am, harshit sethi <hshoneyma...@gmail.com> wrote: > sorry 6 solutions y=15,12,9,6,3,0 > and x=0,4,8,12,16,20 respectively > > On 8/28/11, harshit sethi <hshoneyma...@gmail.com> wrote: > > > > > maximum value of y satisfying this is y=15 and for that x=0; > > > now decrease y by 3 and increase x by 4 ,you will have x and y > > satisfying the equation. > > > keep on doing this till you reach minimum value of y i.e 0 > > > this you can do 5 times decreasing y=15 by 3 every time > > > so there will be 5 solutions . > > > On 8/28/11, Piyush Grover <piyush4u.iit...@gmail.com> wrote: > >> 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.- Hide quoted text - > > - Show quoted text - -- 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.
