"Life is like riding a bicycle. To keep your balance you must keep moving."
- Albert Einstein
Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?
Rs. 4, Rs. 23
Rs. 13, Rs. 17
Rs. 15, Rs. 14
Rs. 17, Rs. 13
Answer: Option E
Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.
OR, Y= 17
NOW, put the value of y in any line, for Eg. in first line, as under:-
13 and 17 is the answer
(Sat, Jan 19, 2013 11:54:17 AM)
You are method is so good. easy way to understand..in Vijay method if any x,y coefficient should made equal to the values. Because we find x,y values..thats why he multiple 3 with first equation and 2 with second equation.
Anam Charan Patra said:
(Mon, Apr 29, 2013 06:38:32 PM)
Please explain why multiply 3 series (i) and 2 multiply series (ii)?