Verbal Reasoning - Arithmetic Reasoning - Discussion
Discussion Forum : Arithmetic Reasoning - Section 1 (Q.No. 2)
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 ?
Answer: Option
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.
Discussion:
50 comments Page 2 of 5.
Tobiyo Kageyama said:
4 years ago
Thanks all for the explanations.
(1)
Satwant said:
1 decade ago
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
(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
(1)
TUSHAR KANTI DAS said:
9 years ago
Your solution is awesome. I got it easily through your process, Thanks @Satwant.
Ianz said:
10 years ago
Its great, by just comparing and sharing knowledge we can learn lot.
Naveenkumar said:
10 years ago
How to take the equation?
Gourav said:
10 years ago
Why not option D?
Russ said:
10 years ago
I don't understand how you got 2 and 3? Where does the 2 and 3 come in place? Please explain it.
Vivek said:
10 years ago
We do for same term of both equation.
Rashed said:
10 years ago
Hi, I'm not much good in maths but can anybody tell me how we are multiplying these equations with 3 and 2? Where these 3 and 2 comes from?
Kenneth said:
9 years ago
Let Rs. x be the cost of city B from city A and Rs. x + 4 be the cost of city C from city A.
Then, 2x + 3x + 12= 77= 5x + 12.
Which means that, 77 - 12= 65= 5x.
Thus, x= 65 ÷ 5= 13.
Because A to B is Rs. x, that means that it costs, Rs. 13 and,
Because A to C is Rs. x + 4, that menas that is costs Rs. 13 + 4, which is equal to 17.
Then, 2x + 3x + 12= 77= 5x + 12.
Which means that, 77 - 12= 65= 5x.
Thus, x= 65 ÷ 5= 13.
Because A to B is Rs. x, that means that it costs, Rs. 13 and,
Because A to C is Rs. x + 4, that menas that is costs Rs. 13 + 4, which is equal to 17.
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