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:
51 comments Page 3 of 6.
Priyan said:
9 years ago
How to get 85?
Not understanding it.
Not understanding it.
Siyad said:
9 years ago
@Kamaho
We have to make either x or y value 0 to get one's value.
So multiplying (i) with 3 and (ii) with 2 we will get x part 0 by equating both equations [ (i) - (ii) ] then only we get 5y=85 further values.
Also, we can multiply (i) with 2 and (ii) with 3.
Then by equating both, we will get 5x=65 then x=65/5..... x=13.
The purpose of multiplying the equations is to make either x or y equal, then by equating we will get either x or y =0.
You can take any no. For multiply, but make values of both x or both y equal.
Hope you will understand.
We have to make either x or y value 0 to get one's value.
So multiplying (i) with 3 and (ii) with 2 we will get x part 0 by equating both equations [ (i) - (ii) ] then only we get 5y=85 further values.
Also, we can multiply (i) with 2 and (ii) with 3.
Then by equating both, we will get 5x=65 then x=65/5..... x=13.
The purpose of multiplying the equations is to make either x or y equal, then by equating we will get either x or y =0.
You can take any no. For multiply, but make values of both x or both y equal.
Hope you will understand.
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?
Vanshika said:
8 years ago
How do we get to know that 1st equation will be multiplied 3 and second by 2?
SINDHU BATTULA said:
2 months ago
Thank you everyone for explaining the answer.
Amrit said:
4 days ago
Thank you all for explaining the answer.
Dazedandconfused said:
1 decade ago
For some reason, this seems complicated to me. What is the purpose of these tests?
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 ..
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