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:
49 comments Page 3 of 5.
Naveenkumar said:
9 years ago
How to take the equation?
Gourav said:
9 years ago
Why not option D?
Russ said:
9 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:
9 years ago
We do for same term of both equation.
Ianz said:
9 years ago
Its great, by just comparing and sharing knowledge we can learn lot.
M.Haseeb Sahal Shah said:
1 decade ago
2x+3y = 77.
2x = 77 -3y.
x = 77 - 3y /2 ... (1).
3x+2y = 73.
Put x value,
3(77 - 3y /2)+ 2y = 73.
3(77 - 3y)= 2(73-2y).
231-9y = 146-4y.
231-146 = -4y+9y.
85 = 5y.
85/5 =y.
17 = y.
x = 77 - 3y /2 ... (1).
x = 77 - 3(17) /2.
x = 77 - 51 /2.
x = 26/2.
x = 13.
B is answer 13, 17.
2x = 77 -3y.
x = 77 - 3y /2 ... (1).
3x+2y = 73.
Put x value,
3(77 - 3y /2)+ 2y = 73.
3(77 - 3y)= 2(73-2y).
231-9y = 146-4y.
231-146 = -4y+9y.
85 = 5y.
85/5 =y.
17 = y.
x = 77 - 3y /2 ... (1).
x = 77 - 3(17) /2.
x = 77 - 51 /2.
x = 26/2.
x = 13.
B is answer 13, 17.
Ladyno said:
1 decade ago
I am truly lost, please help. Where does (i) and (ii) fit in?
M. Iyyammal said:
1 decade ago
I cant get this, please explain (1) and (ii).
Vijaya said:
1 decade ago
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 ..
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:
1 decade ago
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)
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)
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