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 ?
Rs. 4, Rs. 23
Rs. 13, Rs. 17
Rs. 15, Rs. 14
Rs. 17, Rs. 13
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.

Rashid said:   9 years ago
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.

Pvk said:   1 decade ago
Antony method super and correct substitute the x, y value in 1, 2 equation. Only 13, 17 satisfying.

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.

Jennie said:   5 years ago
Why should we multiply the first equation and the second equation with 3and 2? please explain.
(9)

Umar said:   8 years ago
2x+3y=77-->(1)
3x+2y=73-->(2)

73(2x+3y)=77(3x+2y),
146x+219y=231x+154y,
65y=85x,
13y=17x.
(12)

Charan said:   1 decade ago
Why Should we multiply 2x+3y = 77 with 3 and the second one with 2?

Can anyone explain?

Dazedandconfused said:   1 decade ago
For some reason, this seems complicated to me. What is the purpose of these tests?

Bujji said:   1 decade ago
It is wrong antony. In options 17 and 13 is also there. So your method is wrong.

TUSHAR KANTI DAS said:   9 years ago
Your solution is awesome. I got it easily through your process, Thanks @Satwant.

Jitendra said:   1 decade ago
New method by @Antony is really good and a short-cut way to find the solution.


Post your comments here:

Your comments will be displayed after verification.