sign up I login
 advanced
refer a friend - earn nickels!!

Ask & Discuss Questions with Community & Experts

Moderation Team
Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: find min a + b such that a+11b and a+13b are multiples of 13 and 11 resp. a,b>0
Forum Index -> Algebra -> View Full Question like the article? email it to a friend.  
Author Message
pramod6990 (964)

Blazing goIITian

Olaaa!! Perrrfect answer. 176  [218 rates]

pramod6990's Avatar

total posts: 350    
offline Offline

justification for using 0.75 as m/n ratio....


to produce min value of a+b......(153m-110n)/2 shud be minimum rite....nd 0.72<m/n<0.85......tell me the 2 evn integers such that they are in the ratio that differs frm 0.72 by the minimum and also the difference btween the two is minimum....=2 the minimum difference between 2 evn numbers(unequal)....u will say numbers like 6 and 8......(ratio 0.75) 10 and 8( ratio 0.8 but not closer to 0.72 than 0.75) u may say 10 and 12.....( ratio =0.833 but not as close to 0.72 as 0.75) in the same way u cud take a number of couples.....but u will find that the minimum difference btween 0.72 and the m/n ratio will only be achieved in the case of 6 and 8....if u go one step down taking 6 and 4...ull land up in truble as ratio is 0.66 which is out of the eqn...


so clearly the two integers m and n are 6 and 8 inserting which we get the min value of (a+b) as 28...


tell me whether its rite or wrong.....


"Logic is the systematic way of reaching the wrong conclusion with confidence" lol.....
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
 

 Aakash Institute IIT/ AIEEE/ Medical Crash Course
Name  
E-mail  
Phone  
Mobile  
** Hurry. Exclusive goIIT Offer. Limited Seats Only!
available in: New Delhi, Amritsar, Bhatinda, Bokaro, Chandigarj, Dehradun, Guwhati, Hyderabad, Indore, Jaipur, Kanpur, Karnal, Kolkata, Kota, Lucknow, Ludhiana, Mumbai, Noida, Patiala, Patna, Pune, Ranchi, Varanasi
Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Aakash-IITJEE : AIEEE
Aakash-IITJEE : DCE
Aakash-IITJEE : MHTCET
Aakash Institute : AIPMT
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya