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# Verbal Reasoning - Arithmetic Reasoning - Discussion

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"Life is like riding a bicycle. To keep your balance you must keep moving."
- Albert Einstein
2.

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 ?

 [A]. Rs. 4, Rs. 23 [B]. Rs. 13, Rs. 17 [C]. Rs. 15, Rs. 14 [D]. Rs. 17, Rs. 13

Explanation:

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.

Putting y = 17 in (i), we get: x = 13.

 Sartaj said: (Thu, Jul 21, 2011 11:25:12 AM) I cant get this, please explain.

 M. Iyyammal said: (Fri, Jul 29, 2011 10:02:30 PM) I cant get this, please explain (1) and (ii).

 Vijaya said: (Tue, Aug 2, 2011 04:18:22 PM) 2x + 3y = 77 multiply this line with 3 so it becomes 6x + 9y = 231-----------(i) 3x + 2y = 73 multiply this line with 2 so it becomes 6x + 4y = 146 -------------(ii) now solve both the equestion (i) and (ii) 6x + 9y = 231 6x + 4y = 146 ---------------- ox + 5y = 85 y = 85/5 = 17 in the same way do for X ..

 Antony said: (Fri, Nov 11, 2011 01:53:15 AM) New method 3 tickets A to B 2 tickets A to c that's 77/5 = 15.4 3 tickets A to B 2 tickets A to C that's 73/5 = 14.6 so 15.4+14.6 = 30 Ans: 13 + 17 = 30 --- (B)

 Bujji said: (Tue, Aug 21, 2012 07:51:42 PM) It is wrong antony. In options 17 and 13 is also there. So your method is wrong.

 Gangadhar said: (Sat, Sep 8, 2012 09:55:20 AM) Vijay method is correct.

 Deep said: (Fri, Sep 14, 2012 04:46:05 AM) Vijay why did you first multiply by 3 and then by 2 why not the reverse... How would you manage the negative output when you multiply first line by 2 and second line by 3 i.e 4x + 6y 9x + 6x ------------- Minus = 5x ? Don't know if I made sense with my question.

 Satwant said: (Sun, Sep 30, 2012 07:46:19 PM) Let, A to B fare as X and A to C as Y (2x + 3y = 77)X 3 ---------------(1 line) (3x + 2y = 73)X 2 ---------------(2 line) now, after multiplications, we get 6x + 9y = 231---------------(1 line) 6x + 4y = 146---------------(2 line) now, after change the signs and solve the equation, we will get 6x + 9y = 231 -6x - 4y =-146 ---------------- ox + 5y = 85 OR,5y = 85 Y= 85/5 OR, Y= 17 NOW, put the value of y in any line, for Eg. in first line, as under:- 2x+3y=77------(1 line) 2x+3(17)=77 2x+51=77 OR, 2x=77-51 2x=26 x=26/2 x=13 SO, 13 and 17 is the answer

 Madhu said: (Sat, Jan 19, 2013 11:54:17 AM) @Vijay 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)?