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. >> >> >
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