Verbal Reasoning - Arithmetic Reasoning - Discussion

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

Thanks all for the explanations.

How do we get to know that 1st equation will be multiplied 3 and second by 2?

Please explain clearly how to take x y values in an equation?

Can anybody explain to me why we are multiplying I and ii equations with 3 and 2 respectively? Where these 3 and 2 comes from.

@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.

How to get 85?

Not understanding it.

How 3 and 2 is there?

Why do we multiply with 3&2 why not 2&3? everyone know 13&17 is the correct answer. But how & where do we get that 3 & 2 why not 2&3 anyone who can explain this for me? Yes, we know if we multiply by 3 & 2 we get an answer but how do we got that?

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.

Your solution is awesome. I got it easily through your process, Thanks @Satwant.